Multiple choice

The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. Find the present ages of father?

  1. 32

  2. 35

  3. 36

  4. 31

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

Let father's age be F and son's age be S. Given F + S = 38. Four years ago: (F-4)(S-4) = 3(F-4). Since F > 4, we can divide both sides by (F-4) to get S-4 = 3, so S = 7. Therefore F = 38 - 7 = 31. The father's present age is 31 years.