Multiple choice

The sum of the present ages of father and son is 50 years. Five years ago, the father's age was 7 times the son's age. What will be the son's age after 12 years?

  1. 42

  2. 37

  3. 22

  4. 32

  5. 26
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's current age be s and father's current age be f. From the sum: s + f = 50. Five years ago, father was 7 times as old as son: f - 5 = 7(s - 5). Solving gives f = 7s - 30. Substituting in the sum: s + 7s - 30 = 50, so 8s = 80 and s = 10. After 12 years, son's age = 10 + 12 = 22 years.

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