Multiple choice

A man says to his son, ''Seven years ago I was seven times as old as you were and three years hence I will be three times as old as you will be.'' Find their ages.

  1. 42, 12

  2. 40, 14

  3. 20, 42

  4. 52, 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age 7 years ago = s. Then father's age 7 years ago = 7s. Current ages: son = s + 7, father = 7s + 7. In 3 years: son = s + 10, father = 7s + 10. Given: 7s + 10 = 3(s + 10). Solving: 7s + 10 = 3s + 30, so 4s = 20, s = 5. Current ages: son = 12, father = 42. Option A matches.

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