Multiple choice

The age of a man is 4 times that his son. Five years ago the man was nine times as old as his son was at that time. The present age of the man is:

  1. 28 years

  2. 32 years

  3. 40 years

  4. 44 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age be x, man's age is 4x. Five years ago: 4x - 5 = 9(x - 5). 4x - 5 = 9x - 45, 5x = 40, x = 8. Man's age = 4 * 8 = 32.

AI explanation

Let the present ages of the man and his son be M and S. We are given M = 4S, and five years ago, M - 5 = 9(S - 5). Substituting 4S for M gives 4S - 5 = 9S - 45, which simplifies to 5S = 40, so S = 8. Therefore, the man's present age is 4 times 8, which is 32 years.