Three years ago, the average age of a husband, his wife, and their child was 27 years. Additionally, five years ago, the average age of the wife and child was 20 years. What is the current age of the husband?

Explanation

The total combined age of the husband, wife, and child three years ago was 27 × 3 = 81 years. Adding 3 years to each individual for the present, total present age is 81 + 3 × 3 = 90 years. For the wife and child, five years ago, their total age was 20 × 2 = 40 years. Adding 5 years each to find their current total age: 40 + 5 × 2 = 50 years. Subtracting the wife and child's combined current age from the total current age gives the husband's present age: 90 - 50 = 40 years.