Problems on Ages Questions and Answers - 2

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Question: 6

The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages?

(A) 4 years

(B) 5 years

(D) 7 years

View Answer

Ans: B

Let Sulekha’s age be 9x years.

Then, Arunima’s age = 8x years.

$${9x + 5} / {8x + 5}$$ = $${10}/{9}$$ ⇒ 9 (9x + 5) = 10 (8x + 5)

⇒ 81x + 45 = 80x + 50

⇒ x = 5.

Difference in their ages = (9x - 8x) years = x years = 5 years.

Question: 7

The present age of son is half of the present age of his mother. Ten years ago, his mother’s age was thrice the age of her son. What is the present age of the son?

(A) 10 years

(B) 20 years

(D) 30 years

View Answer

Ans: B

Let mother’s age be 2x years.

Then, son’s age = x years.

(2x - 10) = 3(x - 10)

⇒ 2x - 10 = 3x – 30

⇒ x = 20.

∴ Son’s age = 20 years.

Problems on Ages Questions and Answers - 2

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