Question

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

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

Answer 1

The correct option is D $20$ years

Let the present age of son be $x.$

Then, present age of father is $(60-x)$.

According to the question,

$\Rightarrow$ $(60-x)-6=5(x-6)$

$\Rightarrow$ $54-x=5x-30$

$\Rightarrow$ $54+30=5x+x$

$\Rightarrow$ $84=6x$

$\Rightarrow$ $x=\frac{84}{6}$

$\Rightarrow$ $x=14$

$\therefore$ Son's age after $6$ years $=(x+6)years$

$=(14+6)years$

$=20years.$