Discussion of Question with ID = 030 under Problems-on-Ages

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Question

The ages of three friends are in the ratio 2:3:17. What is the age of the youngest friend if the sum of their ages 3 years back was 35 years?

A

4 years.

B

5 years.

C

3 years.

D

6 years.

Soln.
Ans: a

Let the ages of three friends be 2r, 3r and 17r. The youngest of these is 2r. We have been given their sum 3 years back. So (2 + 3 + 17)r - (3 × 3) = 35. Solving, we get r = 2. The youngest is 2 × 2 = 4 years.


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