Advertisement

### Question

The ages of three friends are in the ratio 17:5:13. What is the age of the youngest friend if the sum of their ages is 105 years?

**A**

15 years.

**B**

16 years.

**C**

14 years.

**D**

17 years.

**Soln.**

**Ans: a**

Let the ages of three friends be 17r, 5r and 13r. The youngest of these is 5r. We have been given their sum. So (17 + 5 + 13)r = 105. Solving, we get r = 3. The youngest is 5 × 3 = 15 years.