Problems on Ages · Question 7 · Medium

Problems on Ages question 7

The sum of the ages of a father and his son is 60 years. Six years ago, the father was five times as old as the son. What will be the son's age 6 years from now?

  1. 18 years
  2. 20 years
  3. 22 years
  4. 24 years
Answer and explanation

Answer: B. 20 years

Explanation: f + s = 60 and f − 6 = 5(s − 6), so f = 5s − 24. Then 6s − 24 = 60 gives s = 14. In 6 years the son will be 20.

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