Question

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

• A. 44
• B. 52
• C. 60
• D. 68

Answer 1

Answer: (C)

60

Total age of 6 sons $=6\times 8=48$ years
Total age of sons together with their parents $=8\times 22=176$ years
$\therefore$ Total age of parents $=176-48=128$ years
Let the mother's age be $x$ years.

Then, father's age $=(x+8)$ years
Given, $x+x+8=128$

$\Rightarrow 2x=120$
$\Rightarrow x=60$ yeas