Multiple choice

The average age of 6 sons in a family is 8 years, average age of sons and parents is 22 years. If father is 8 years older than the mother, then find the age of the father after 13 years.

  1. 81 years

  2. 75 years

  3. 72 years

  4. 68 years

  5. None of these

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

Total age of 6 sons = 6 × 8 = 48 years. Total age of 8 people (sons + parents) = 8 × 22 = 176 years. Parents' combined age = 176 - 48 = 128 years. Given father is 8 years older: Let mother = m, father = m + 8. Then 2m + 8 = 128, so m = 60. Father = 68. After 13 years: 68 + 13 = 81 years. Option A is correct.