129+ Problems on Ages with Solutions and Explanation

Q:

In a joint family, there are 24 members whose age is decreased by 4 months, when one girl aged 24 years is replaced by a new boy. Find the age of the new boy ?

A) 18 years	B) 12 years
C) 15 years	D) 16 years

Answer & Explanation Answer: D) 16 years

Explanation:

Age of new boy = (Age of moved girl) – (Number of family members × Decreased in average)

= 24 – 24×4/12

= 24 – 8

= 16 years.

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Q:

The ratio of present ages of Simi and Seema is 5 : 4. After 9 years the ratio of their ages will be 8 : 7. What is Simi's present age (in years)?

A) 12	B) 15
C) 24	D) 21

Answer & Explanation Answer: B) 15

Explanation:

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Q:

The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

A) 10 years	B) 15 years
C) 18 years	D) 24 years

Answer & Explanation Answer: A) 10 years

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of 3 : 5

ATQ,

$\frac{40 - m}{60 - m} = \frac{3}{5}$

=> 200 - 5m = 180 - 3m

=>2m = 20

=> m = 10 years.

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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 present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?

A) 42	B) 36
C) 30	D) 24

Answer & Explanation Answer: B) 36

Explanation:

Let present age of Pranay = 15p

That of Sai = 17p

ATQ,

15p + 6/17p + 6 = 9/10

=> 150p + 60 = 153p + 54

=> p = 2

Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.

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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 sum of the present ages of a father and his son is 70 years. Five years ago, father's age was 5 times the age of the son, so now the son's age will be?

A) 12	B) 14
C) 15	D) 19

Answer & Explanation Answer: C) 15

Explanation:

Father Son

5years ago the age of the father & son 5X X

present the age of the father & son 5X+5 X+5

(present age of father) + (present age of son) = 70

(5x+5) + (x+5) = 70

Then you will get X = 10

Present age of the son (x+5) = 15

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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

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