Problems on Ages Questions

Q:

The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13:19. What is Rahul's present age (in years)?

A) 36 B) 48
C) 42 D) 54
 
Answer & Explanation Answer: A) 36

Explanation:
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Q:

The difference between the present ages of Avanthi and Kapil is 9 years. After 7 years, Kapil’s age is twice of Avanthi’s age. What will be Kapil’s age after 4 years?

A) 15 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: A) 15

Explanation:

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 =  2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

 

Required, age of Kapil after 4 years = 11 + 4 = 15 years.

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Q:

When I was 24, my mother was twice my age. Now I am 44, how old is my mother?

A) 84 B) 48
C) 68 D) 88
 
Answer & Explanation Answer: C) 68

Explanation:

From the given data,

when my age is 24, my mothers age is double of my age 

=> 48 yrs is my mothers age

=> Difference is 48 - 24 = 24 years.

 

When my age is 44

=> My mother is 44 + 24 = 68 years aged.

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16 3016
Q:

The average age of Hari, his wife and their two children is 23 years. His wife is just 4 years younger than Hari and his wife was 20 years old when their daughter was born. He was 28 years old when their son was born. What is the sum of the age of Hari and his daughter is?

A) 53 years B) 55 years
C) 56 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:
H+W+S+D/4 = 23
H= W+4

D =W-20 = H-24

S = H-28

H+H-4+H-24+H-28/4 = 23

H =37 D =13

H + D = 50

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Q:

James present age is 2/7th of his fathers present age. James brother is three year older to Jame. The respective ratio between present ages of James father and James brother is 14:5. What is the present age of James?

A) 12 years B) 13 years
C) 14 years D) 15 years
 
Answer & Explanation Answer: A) 12 years

Explanation:

James father present age = x
James age = 2/7 x
James brother age = 2x/7 + 3
x = 42
=> 2x/7 = 12 yrs

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Q:

Priya’s age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year?

A) 7 years B) 12 years
C) 14 years D) 21 years
 
Answer & Explanation Answer: C) 14 years

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Q:

Seven years from now Virat will be twice as old as Mohinder. Five years ago Mohinder's age was one year less than 2/5 of Virat's age. What is Virat's present age?

A) 55 yrs B) 51 yrs
C) 57 yrs D) 53 yrs
 
Answer & Explanation Answer: A) 55 yrs

Explanation:
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Q:

The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

A) 3:2 B) 1:2
C) 2:1 D) 3:1
 
Answer & Explanation Answer: D) 3:1

Explanation:

Let the present age of P be 8x and Q be 5x After 4 years, P's age = 8x + 4 and Q's age = 5x + 4 8x+4/5x+4 = 4/3 24x+12 = 20x+16 => 4x = 4=> x = 1 Present age of P = 8 years Present age of Q = 5 years Required ratio = 15 : 5 = 3 : 1

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