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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 :
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- 44
- 52
- 60
- 68
- 44
Correct Option: C
Let the mother’s age = y years
∴ Father’s age = (y + 8) years
Sum of age of 6 sons = 8 × 6 = 48 years
Sum of age of 6 sons and parents = 22 × 8 = 176 years.
∴ Age of Parents = 176 – 48 = 128 years
⇒ y + y + 8 = 128
⇒ 2y = 120
⇒ y = 60
Hence, mother’s age = 60 years
