Problems on Ages Questions and Answers - 1

Question: 1

The ages of A and B are in the ratio 6 : 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years?

(A) 3 : 4

(B) 7 : 6

(C) 8 : 7

(D) 9 : 8

Ans: C

A’s age = $$(44 × {6}/{11})$$ years = 24 years and

B’s age = (44 - 24) years = 20 years.

Ratio of their ages after 8 years = $$({24 + 8}/ {20 + 8})$$ = $${32}/{28}$$ = $${8}/{7}$$ = 8 : 7.

Question: 2

Ram’s son’s age is $${1}/{3}$$ of Ram’s wife age. Ram’s wife’s age is $${4}/{5}$$ of Ram’s age and Ram’s age is $${3}/{5}$$ of Ram’s father’s age. Find the age of Ram’s son, if Ram’s father is 50 years old.

(A) 6 years

(B) 7 years

(C) 8 years

(D) 9 years

Ans: C

Ram’s father age = 50 years,

Ram’s age = $$({3}/{5} × 50)$$ years = 30 years.

Ram’s wife age = $$({4}/{5} × 30)$$ years = 24 years.

Ram’s son’s age = $$({1}/{3} × 24)$$ years = 8 years.

Question: 3

Sheh’s age is $${1}/{6}$$ the of her father’s age. Sneh’s father age will be twice of Vimal’s age after 10 years. If Vimal’s 8th birthday was celebrated 2 years ago, then what is Sneh’s present age?

(A) $$6{2}/{3}$$ years

(B) 10 years

(C) 12 years

(D) 15 years

Ans: A

Vimal’s present age = (8 + 2) years = 10 years.

Sneh’s father’s age = 2(10 + 10) years = 40 years.

Shen’s age = $$({1}/{6} × 40)$$ years = $${20}/{3}$$ years = $$6{2}/{3}$$ years.

Question: 4

If 10 years are subtracted from the present age of Mr. Roy and the remainder divided by 14, then you would get the present age of his grandson Sachin. If Sachin is 9 years younger to Saloni whose age is 14 years, then what is the present age of Mr. Roy?

(A) 60 years

(B) 70 years

(C) 74 years

(D) 80 years

Ans: D

Saloni’s age = 14 years ⇒ Sachin’s age = (14 - 9) years = 5 years.

Let the present age of Mr. Roy be x years.

∴ $${x - 10}/{14}$$ = 5 ⇒ x - 10 = 70 ⇒ x = 80 years.

Question: 5

The ages of Nishi and Vinnee are in the ratio 6 :5 respectively. After 9 years, the ratio of their ages will be 9 : 8. What is the difference in their ages now?

(A) 2 years

(B) 3 years

(C) 5 years

(D) 7 years

Ans: B

Let Nishi’s age be 6x years.

Then, Vinnee’s age = 5x years.

∴ $${6x + 9}/{5x + 9}$$ = $${9}/{8}$$

⇒ 8(6x + 9) = 9(5x + 9)

⇒ 48x - 45x = 81 - 72

⇒ 3x = 9

⇒ x = 3.

Difference in their ages = (6x - 5x) = x years = 3 years.

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