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.
A. 44 B. 52 C. 60 D. 68 Answer: Option CShow Answer
Solution(By Apex Team)
Sum of ages of 6 sons of a family = 8 × 6 = 48
Sum of ages of 6 sons and their parents = 8 × 22 = 176
$\begin{array}{l}\text{Parents’s age = 176 – 48 = 128}\\
\text{Father’s age – Mother’s age = 8}\\
\text{x – y = 8}\\
\text{x + y = 128}\\
\text{x = 68}\\
\text{y = 60}\\
\text{∴ Mother’s age = 60 years}\end{array}$
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