The ages of two friends are in the ratio 2:17. What is the age of the younger friend if the sum of their ages is 38 years?
Let the ages be 2r and 17r. The younger is 2r. We have been given their sum. So (2 + 17)r = 38. Solving, we get r = 2. The younger is 2 × 2 = 4 years.