Multiple choice

Six years later the man's age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.

  1. The present age of man is $55$ years and present age of son is $11$ years.
  2. The present age of man is $40$ years and present age of son is $8$ years.
  3. The present age of man is $50$ years and present age of son is $10$ years.
  4. The present age of man is $30$ years and present age of son is $6$ years.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M and S be current ages. (M+6) = 3(S+6) => M - 3S = 12. (M-3) = 9(S-3) => M - 9S = -24. Subtracting equations: 6S = 36 => S = 6. M = 3(6) + 12 = 30.