Multiple choice

If twice the son's age added to the father's age the sum is 70. But if father's twice age added to the son's age the sum is 95. Find the ages of father and son?

  1. 25, 5

  2. 36, 8

  3. 15, 40

  4. 15, 45

  5. 40, 15

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

Let father's age = F, son's age = S. First condition: 2S + F = 70. Second condition: 2F + S = 95. Solving these simultaneously: From first, F = 70 - 2S. Substituting in second: 2(70 - 2S) + S = 95 → 140 - 4S + S = 95 → 140 - 3S = 95 → 3S = 45 → S = 15. Then F = 70 - 2(15) = 70 - 30 = 40. Ages are 40 (father) and 15 (son), matching Option E.