Multiple choice

The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 28 years, what is father's age?

  1. 32 years

  2. 42 years

  3. 36 years

  4. 46 years

  5. 48 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's age = F, son's age = S. 2(F + S) = 8S → 2F + 2S = 8S → 2F = 6S → F = 3S. Average = (F + S)/2 = 28 → F + S = 56. Substituting F = 3S: 3S + S = 56 → 4S = 56 → S = 14. So F = 3 × 14 = 42 years. Option B is correct.

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