Multiple choice

A man is 24 years older than his son. 12 years ago, he was five times as old as his son. Find their present ages.

  1. 45 years, 33 years

  2. 48 years, 12 years

  3. 42 years, 18 years

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the son's age be x, then the man's age is x+24. Twelve years ago, the man was x+12 and the son was x-12. Given x+12 = 5(x-12), we get x+12 = 5x-60, so 4x = 72 and x = 18. The son is 18 and the man is 18+24 = 42.

AI explanation

Let the son's present age be x, so the man's present age is x + 24. Twelve years ago the son was x minus 12 and the man was x + 12, giving the equation x + 12 = 5 times (x minus 12). Solving yields x = 18, so the son is 18 and the man is 42.

Keep practicing — related questions