The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. A…

Question

The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be the son's age?

1. A. 14 years
2. B. 20 years (Correct answer)
3. C. 46 years
4. D. 52 years

Correct Answer

Option B — 20 years

Detailed Solution & Explanation

The correct answer is 20 years.

Key Points

• Let son's present age = s, father's = f. s + f = 60. Six years ago: f − 6 = 5(s − 6) → f − 6 = 5s − 30 → f = 5s − 24. Substituting: s + 5s − 24 = 60 → 6s = 84 → s = 14 years.
• After 6 years, son's age = 14 + 6 = 20 years.