Methods To Resolve Age-Primarily based Issues

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Issues on ages is a vital chapter for SSC/Banking and all different exams. In SSC Prelims 2 to three questions are requested and in mains 4 to five questions may be requested on this subject. As a lot of the questions on this subject of this chapter may be solved by analytical considering. So, it performs an important function within the examination. Generally the query requested are complicated and complex, so we now have to be taught the idea nicely to simply rating marks for some of these questions.

Desk of Contents:

1. Issues on ages :- fundamentals and idea

2. Helpful ideas and tips to resolve the issues of ages

3. Vital Formulation

4. Pattern Questions – issues on ages

1. Issues on ages – fundamentals and idea
Issues on ages principally include details about the ages of two or extra individuals and a relationship between their ages prior to now/current/future.

Within the quantitative aptitude part( banking /SSC exams) the issues on ages are type of mind teasers, on the very first time when a candidate research this it might appear to be advanced, nevertheless it turns into simple when solved step-by-step.

Within the quantitative aptitude sector issues on ages largely are requested for 2-3 marks however there could also be a risk of age-based questions being requested as part of the info sufficiency or knowledge interpretation. So it is extremely essential to make clear the idea to each candidate.

2. Helpful ideas and tips to resolve the issues of ages

The helpful ideas given under are for the Candidates who will not be a lot conversant in the idea and tendency to skip the issues on ages or reply them incorrectly. The following tips could show you how to to clear the idea and solutions the questions accurately.

I) To learn the query fastidiously and progressively kind the equation is an important factor. It helps you reply the query.

II) Staple items like subtraction, addition, multiplication, and division will assist a candidate attain the reply and no sophisticated calculations are required to reply these questions.

III) Organize the values accurately and use them as linear equations.

IV) As soon as the linear equation has been shaped, clear up the equation to seek out the reply.

V) The ultimate step is to recheck the reply obtained by putting it within the equation shaped to make sure that no error has been made whereas calculating.

The ‘issues on ages’ is one such subject which isn’t simply requested within the preliminary part of the examination however questions from this subject may be requested in the principle examination in a slightly advanced method.

3. Vital Formulation

The formulation given under are associated to the issues on ages which can show you how to to reply the issues faster and likewise get a greater concept of the idea:-

I) Suppose if the current age of an individual is x, then after n years, the age of the particular person will probably be (x+n) years.

II) Suppose if the current age of an individual is x, then earlier than n years the age of the particular person will probably be (x-n) years.

III) Suppose the ratio of two individuals is p : q, then their age will probably be px and qx respectively.

IV) Suppose the current age of an individual is x, then n occasions the current age will probably be (x * n) years

V) Suppose the current age of an individual is x, then 1/n of the age shall be equal to (x/n) years

These formulation and tips will show you how to in fixing the questions simply and extra effectively.

4. Pattern Questions – issues on ages

1. Query
5 years in the past the ratio of the ages of Amit and Neha was 8 : 7. Three years therefore, the ratio of their ages will probably be 12 : 11. what’s Neha’s age at current?

A) 13 years

B) 16 years

C) 8 years

D) 19 years

E) None of those

Reply:- D
Rationalization:-

Let the age of Amit and Neha 5 years in the past 8x and 7x respectively.

Amit’s current age = (8x + 5)

Neha’s current age = (7x + 5)

Now, as per the equation,

{(8x + 5) + 3} /{( 7x + 5) + 3} = 12/11
=> (8x + 8)/(7x + 8) = 12/11

=> 88x + 88 = 84x + 96

=> 4x = 8

⇒ x = 2.

∴ Neha’s current age = (7x + 5) = (7 × 2 + 5) = 19 years.

Therefore, possibility D is right.

Methods:-

Amit : Neha = 8 : 7 ( -5)

= 12 : 11 (+3)

= ( – 5 + 3 ) = 2

So, Neha’s age = 7 × 2 = 14

Neha’s current age = 14 + 5 = 19 years

Or, Neha’s age = 11 × 2 = 22

Neha’s current age = 22 – 3 = 19 years

2.Query
The current ages of the three associates are within the ratio 3 : 5 : 7. Eight years in the past, the sum of their ages was 96. discover the sum of the current ages of the primary two associates (in years)?

A) 42 years

B) 64 years

C) 70 years

D) 67 years

E) None of those

Reply:- B
Rationalization:-

Let the current age of three good friend’s are = 3x, 5x and 7x

(3x – 8) + (5x – 8) + (7x – 8) = 96

15x – 24 = 96
15x = 120
x = 8

Their current ages are 24 years, 40 years and 56 years respectively.
The sum of the current ages of the primary two associates = ( 24 + 40) = 64 years
Therefore, possibility B is right.

3. Query
The ratio of the daddy’s age to his son-in-law’s age is 9 : 5. The product of their ages is 1125. The ratio of their ages after 5 years will probably be :

A) 1 : 3

B) 2 : 3

C) 3 : 4

D) 5 : 3

E) None of those

Reply – D
Rationalization:-

Let the current ages of Father and son-in-law be 9x and 5x respectively.

9x × 5x = 1125
45×2 = 1125
x2 = 25
x = 5.

Required ratio = (9x + 5) : (5x + 5) ⇒ 50 : 30 ⇒ 5 : 3.

Therefore, possibility D is right.

4. Query
The entire ages of Aman, Nageshwar and Satyam is 96 years. The ratio of their ages earlier than 5 years was 2 : 3 : 4. What’s the current age of Aman?

A) 23 years

B) 32 years

C) 21 years

D) 33 years

E) None of those

Reply:- A
Rationalization:-

Let the ages of Aman, Nageshwar and Satyam 5 years in the past be 2x, 3x and 4x years respectively.

So, whole of their current ages will probably be,

(2x + 5) + (3x +5) + (4x + 5) = 96
=> 9x + 15 = 96
=> 9x = 81
x = 9.

So, the current age of Aman =( 2x + 5 )=( 2 × 9 + 5 )= 23 years.

Therefore, possibility A is right.

5. Query
The ratio of the current ages of two boys is 2 : 3 and 6 years again, the ratio was 1 : 3. What would be the ratio of their ages after 4 years ?.

A) 1 : 3

B) 3 : 4

C) 2 : 3

D) 3 : 5

E) None of those

Reply :-. B
Rationalization:-

Assume 2x and 3x be the current age of two associates respectively.

Then,
2x – 6 = 1 3x – 63
⇒ 6x – 18 = 3x – 6
⇒ 3x = 12
⇒ x = 4.

So, required ratio = (2x + 4) : (3x + 4) ⇒ 12 : 16 ⇒ 3 : 4.

Therefore, possibility B is right.

Methods :-

2 : 3 —– ( × 2) = 4 : 6 (× 2) = 8 : 12

1 : 3 —– ( × 1) = 1 : 3 ( × 2) = 2 : 6

So, the current ages of the 2 boys 8 years and 12 years respectively.

4 years later their ages will probably be (8+4) = 12 years and (12+4)= 16 years.

Ratio = 12 : 16 = 3 : 4.

6. Query
mom’s age is twice of her daughter. Earlier than ten years, she was twelve occasions as previous as her daughter. What’s the sum of the current age of a mom and her daughter collectively?

A) 33 years

B) 36 years

C) 40 years

D) 26 years

E) None of those

Reply:-. A
Rationalization:-

Let, the current age of daughter = p

Current age of her mom = 2p

10 yr again, the ratio of their ages was = 12: 1

So,

(2p – 10)/(p – 10) = 12 /1
=> 2p – 10 = 12p – 120
=> 10p = 110
=> P = 110/10 = 11

Current age of daughter = 11 years

Current age of mom = 11× 2 = 22 years

Thus, the sum of the current age of mom and her daughter

= 22+11 yrs
= 33 years
Right here , A is the right reply.

Methods :-

Mom : Daughter = 2 : 1 (× 11) = 22 : 11

= 12 : 1 ( × 1) = 12 : 1

Current age of Mom = 22 years

Current age of Daughter = 11 years

Thus, Sum of their ages = 22 + 11 = 33 years.

7. Query
Amit is 2 years older than Bikash who’s twice as previous as Chetan. If the sum of the current ages of Amit, Bikash and Chetan be 52, then how previous is Bikash?

A) 20 years
B) 22 ears
C) 15 years
D) 13 years
E) 21 years

Reply: A
Rationalization :-

Let the current age of Chetan = x years

So, Bikash’s current age = 2x

And Amit’s current age = 2x + 2

In accordance with the query,

x+2x+2+2x = 52

⇒5x+2 = 52

⇒5x=50

⇒x=10

So, Bikash’s age = 2×10 = 20 years
Right here ,the right possibility is A .

8. Query
In a household, of five-person, the entire age of the elder brother and youthful brother is 56 years and after 4 years the age of the elder brother will probably be 3 times that of the youthful brother. What is the age of the 2 brothers respectively?

A) 12 years, 41 years
B) 15 years, 53 years
C) 11 years, 34 years
D) 12 years, 44 years
E) 21 years, 42 years

Reply: D

Answer:

Let the current age of the elder brother = x years The current age of the youthful brother = y years

In accordance with the query,
x+y = 56 ————-(1)

After 4 years, age of the elder brother = x+4

after 4 years the age of youthful brother = y+4

So,

x+4 = 3 (y+4) ———–(2)

x+4 = 3y + 12

From the equation (1) we get,
x = 56-y

Now placing the worth of x in equation 2, we get

(56-y) + 4 = 3y + 12

⇒60 – y = 3y + 12

⇒y = 12

So, the youthful brother’s current age is =12 years

the elder brother’s current age = 56-12 = 44 years

Right here the right reply is D.

9. Query
Akash is as a lot elder than Vijay as he’s youthful to Ketan and the sum of the ages of Vijay and Ketan is 48 yr, then discover the age of Akash.

A) 36 years
B) 24 years
C) 27 years
D) 18 years
E) 22 years

Reply:- B
Rationalization:-
Let the current age of Akash = x years
and he’s youthful to Ketan by y years
Then, Ketan’s age = (x + y) years
Vijay’s age = (x – y) years

Now, in accordance with the query,
Sum of ages of Ketan and Vijay = 48
(x + y) + (x – y) = 48
2x = 48 years
x = 24 years

Therefore, current age of Akash is 24 yr.

10. Query
Your uncle is 3 times as previous as you. 15 yr therefore, your uncle will probably be twice as previous as you. What’s the sum of the current ages of you and your uncle?

A) 60 years
B) 55 years
C) 75 years
D) 50 years
E) none of those

Reply :- A
Rationalization :-
Let, the current ages of your uncle and also you be 3x and x years respectively

15 years later, ratio between your uncle and your age = 2 :1

Now,
(3x + 15)/(x + 15) = 2/1
=> 3x + 15 = 2x + 30
=> x = 15

Thus, Sum of the ages of your uncle and your
= ( 3x + x )
= 4 × 15 = 60 years
Right here the right reply is A .

11. Query
The current age of Kamal is 5 occasions the age of Shiva. After 10 yr, Kamal will probably be 3 occasions as previous as Shiva. What are the current ages of Kamal and Shiva?

A) 45 years, 9 years
B) 55 years, 11 years
C) 65 years, 13 years
D) 40 years, 8 years
E) 50 years, 10 years

Reply :- E
Rationalization:-
Let the current age of Shivam = x years

Then, current age of Kamal = 5x years

After 10 years,
the ratio of ages of Kamal and Shiva = 3 : 1

In accordance with the query,

(5x + 10)/(x + 10) = 3/1
=> 5x + 10 = 3x + 30
=> 2x = 20
=> x = 10

Current age of Shiva = 10 years
Current age of Kamal = 10×5 = 50 years

12. Query
5 yr in the past, the age of Sanjay was 4 occasions the age of Vikram and after 10 yr, Sanjay will probably be twice as previous as Vikram. Discover the current ages of Sanjay and Vikram.

A) 35 years, 12.5 years

B) 33 years, 11 years

C) 45 years, 16 years

D) 50 years, 18.5 years

E) None of those

Reply:-A

Rationalization:-

Let the current ages of Sanjay and Vikram be x years and y years, respectively.

In accordance with the query,
5 years in the past,

(x – 5)/( y – 5) = 4/1
=> x – 5 = 4y – 20
=> x = 4y – 15 —————–(1)

10 years later,
( x + 10)/(y + 10) = 2 : 1
=> x + 10 = 2y + 20
=> x = 2y + 10 —————-(2)

Equating each the equations (1) and (2) ,we get,

4y – 15 = 2y + 10
=> 2y = 25
=> y = 12.5

Placing the worth of y in equation (2),we get,

x = 2 × 12.5 + 10
=> x = 35

Thus,the current age of Sanjay = 35 years
And the current age of Vikram = 12.5 years

13.Query
4 years in the past, Sharma’s age was 3/4 occasions that of Raman. 4 years therefore, Sharma’s age will probably be 5/6 occasions that of Raman. What’s the current age of Sharma?

(a) 16 yrs
(b) 20 yr
(c) 15 yr
(d) 24 yr
(e) 8 yr

Reply :-A
Rationalization :-

4 years in the past,
let, Raman’s age = x years
And Sharma’s age = 3x/4 years

Now, Current age of Raman = x + 4 years
And current age of Sharma =( 3x/4 + 4 ) years

In accordance with the query,

5/6 ( x + 4 + 4) = (3x/4 + 4 + 4)
=> 5/6 ( x + 8) = ( 3x/4 + 8)
=> 4(5x + 40) = 6( 3x + 32)
=> 20x + 160 = 18x + 192
=> 2x = 32
=> x = 16

Thus the current age of Sharma
=( 3/4 × 16 + 4) years
= 16 years
Right here the right reply is A.

14. Query
The current ages of the 2 girls are 36 and 50 yr, respectively. After p years, the ratio of their ages will probably be 3 : 4, then discover the worth of p.

(a) 3

(b) 4

(d) 8

(e) none of those

Reply :-C
Rationalization :-

In accordance with the query,
(36 + p)/( 50 + p) = 3/4
=> 144 + 4p = 150 + 3p
=> p = 6
Thus, the worth of p = 6.

15. Query
The current ages of Rohit and Urvashi are 36 and 48 yr, respectively. What was the ratio between the ages of Urvashi and Rohit respectively 8 yr in the past?

(a) 7:4

(b) 4:7

(d) 10 : 7

(e) Not one of the above

Reply :- D
Rationalization :-

Ratio = (48 – 8) : (36 – 8)
= 40 : 28
= 10 : 7
Right here the right reply is D.

16. Query
The common age of two lecturers is 35 yr. The common age of the 2 lecturers and a scholar is 27 yr. What’s the age of the coed?

(b) 11 yr

(d) 10 yr

(a) 12 yr

Reply :- A

Rationalization :-

Whole age of two lecturers
= 35 x 2 = 70 yr

and whole age of two lecturers and college students collectively

= 27 x 3 = 81 yr

: Age of the coed = 81-70 = 11 yr

17.Query
The common of the current ages of Saikat and Shivani is 36 yr. If Saikat is 8 yr older than Shivani, what’s the Shivani’s current age?

(a) 30 yr

(b) 34 yr

(d) 40 yr

(e) Not one of the above

Reply :- C

Rationalization :-

Whole age of Saikat and Shivani

= 36 × 2 = 72 yr

Let age of Shivani = x yr

Then, age of Saikat = (x + 8) yr

In accordance with the query,

x+x+8 = 72

2x = 64

x = 32

Therefore, Shivani’s current age = 32 years

18. Query

The ratio between the current ages of Irfaan and Kapil is 3 : 8. After 8 years, Irfaan’s age will probably be 20 yr. What was Kapil’s age 5 years therefore?

(a) 37 yr

(b) 27 yr

(d) 38 yr

Reply :-A
Rationalization:-
Let current ages of Irfaan and Kapil are

3x years and 8x years respectively.

3x + 8 = 20

=> 3x = 12

x = 4

Kapil’s current age = 8x = 8×4 = 32 years

Therefore, Kapil’s age 5 years therefore = 32+5 = 37 years

19. Query
The ratio between the current ages of Tanmay and Vivek is 3:7, respectively. After 4 yr, Vivek’s age will probably be 39 yr. What was Tanmay’s age 4 yr later?

(a) 11 yr

(b) 13 yr

(d) 18 yr

(e) Not one of the above

Reply :- C
Rationalization :-

Let Tanmay and Vivek’s ages are 3x yr and 7x yr, respectively.
7x + 4 = 39 ⇒ x = 5
=3×5-4=11 yr
Therefore, Tanmay’s age 4 yr later
= 3×5 + 4
= 19 years.

20. Query

The common age of a bunch of 5 ladies is 24. If the current age of the youngest lady is 8 12 months, what was the common age of the group on the time of the delivery of the youngest lady?

(b) 16 yr

(d) 18 yr

(a) 22 yr

(e) 20 yr

Reply:- E

Rationalization:-

Whole age of the group of 5 ladies

= 24 x 5 = 120

Whole age of 4 ladies on the time of

delivery of youngest lady=( 120 – 8×5) years

= 120 – 40 = 80 years

Therefore, required common age = 80/4 = 20 yr

Therefore the right reply is E.

21. Query
30. The current age of Rahul’s mom is 4 occasions Rahul’s current age. 5 years in the past, Rahul’s mom was seven occasions as previous as Rahul. What’s the current age of Rahul’s mom?

(a) 84 yr

(b) 70 yr

(d) 35 yr

Reply:- C

Rationalization:-

Let the current age of Rahul = x.

Then, current age of Rahul’s mom= 4x

Now, 5 yr in the past,

Rahul’s mom’s age = 7 x Rahul’s age

4x -5= 7(x – 5)

=> 4x – 5 = 7x – 35

=>3x = 30

=>x = 10

.. Rahul’s current age = x= 10 years

.. Rahul’s mom’s current age= 4x
= 4 x 10 = 40 yr

22. Query
The age of Prakash is 3 times Arvind’s age. After 7 yr, Prakash will probably be twice Arvind’s age, then what number of occasions will Prakash’s age be in one other 14 yr time with respect to Arvind’s age then?

(a) 3

(b) 1

(d) 2

(e) Not one of the abovswer

Reply :-B

Rationalization:-

Let Arvind’s age = x yr

Then, Prakash’s age = 3x yr

In accordance with the query,

3x + 7 = 2(x + 7)

3x + 7 = 2x + 14

X = 7

:: Age of Arvind after 14 yr = 7+ 14 = 21 yr

Prakash’s current age = 21 yr

Therefore,
Prakash’s age is one time of Arvind’s age.

23. Query

10 years in the past, the ratio of ages of a person and a lady was 13:17. After 17 years from now, the ratio of their ages will probably be 10:11 . What’s the current age of the girl?

(a) 23 yr

(b) 40 yr

(d) 44 yr

(e) Not one of the above

Reply:-C

Rationalization:-

Let the ages of man and lady 10 yr earlier than had been 13x yr and 17x yr, respectively.

Then, current age of man = 13x + 10

and current age of lady = 17x + 10

In accordance with the query,

(13x + 10 + 17)/(17x + 10 + 17) = 10/11

=> (13x + 27)/(17x + 27) = 10/11

=> 143x + 297 = 170x + 270

=> 27x = 27

=> x = 1

Therefore ,the current age of the girl
= (17×1 + 10) = 27 years

24.Query
Kailash age is twice of Shekher’s age. 8 yr therefore, the respective ratio between Kailash’s and Shekhar’s ages will probably be 22:13.What’s Kailash’s current age?

(b) 18 yr
(d) 30 yr
(a) 26 yr
(c) 42 yr
(e) Not one of the above

Reply:- E

Rationalization:-
Let Shekhar’s current age = x yr
Then, Kailash’s current age = 2x yr
In accordance with the query,
(2x + 8)/(x + 8 ) = 22/13
26x + 104 = 22x + 176
4x = 72
x = 18
Therefore, Kailash’s age = 2 x 18 = 36 yr

25.Query
Earlier than 7 years, the ages of P and Q had been within the ratio 4:5 and seven yr therefore, they are going to be within the ratio 5: 6. Discover the age of Q in current.

(a) 56 yr

(b) 63 yr

(d) 77 yr

(e) none of those

Reply:- D

Rationalization:-

Let, 7 yr in the past, ages of P and Q had been 4x years and 5x years, respectively.

Then, current age of P = 4x + 7
and current age of Q = 5x + 7

Now, in accordance with the query,

(4x + 7+ 7)/(5x +7+7) =5/6

24x + 84 = 25x + 70

x = 14

Therefore, Q’s current age =(5x + 7)

= 5×14 + 7 years

= 77 years.

Therefore the right reply is D.

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