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### Question

The ages of two friends are in the ratio 13:7. What is the age of the younger friend if the sum of their ages is 100 years?

**A**

35 years.

**B**

36 years.

**C**

34 years.

**D**

37 years.

**Soln.**

**Ans: a**

Let the ages be 13r and 7r. The younger is 7r. We have been given their sum. So (13 + 7)r = 100. Solving, we get r = 5. The younger is 7 × 5 = 35 years.