129+ Problems on Ages with Solutions and Explanation

Q:

The ratio of present ages of R and S is 11:17. Before 11 years the ratio of their ages was 11:20. What is R's present age (in years)?

A) 51	B) 33
C) 22	D) 40

Answer & Explanation Answer: B) 33

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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3 3376

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:

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

A) 14	B) 22
C) 28	D) 36

Answer & Explanation Answer: D) 36

Explanation:

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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 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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Q:

If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughter’s age is 7 years more than his son. Sum of daughter’s present age and his wife’s present age is 10 years more than Ayush’s present age then find the present age of Ayush if average of present age of entire family is 30.25 yr?

A) 45 year	B) 50 year
C) 60 year	D) 40 year

Answer & Explanation Answer: B) 50 year

Explanation:

Let the present age of Ayush be x yr.

Present age of his son =

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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

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