Multiple choice

Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother ( in years) is :

  1. 44

  2. 52

  3. 60

  4. 68

Reveal answer Fill a bubble to check yourself
C 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. Let mother's age be M. Then father's age = M + 8. So M + (M + 8) = 128, giving 2M = 120, so M = 60 years.