Question

The sum of the present ages of father and his son is $60$ years. $6$ years ago, father age was five times the age of the son. After six years son's age will be

• A. $20$ years
• B. $14$ years
• C. $12$ years
• D. $18$ years

Answer 1

The correct option is A $20$ years

Let father's age $=F$
son's age $=S$
then $F+S=60...\left(1\right)$
and, $F-6=5(S-6)$
$F=5S-24...\left(2\right)$
From $\left(1\right),F=60-S$
Thus, $60-S=5S-24$
$84=6S$
$S=14$ years
Present age of son is $14$ years.
Hence, after $6$ years, son will be $20$ years of age