Question

The present ages of a father and his son are $30$ years and $6$ years. In how many years will their ages be in the ratio $5:2?$

• A. $20$ years
• B. $12$ years
• C. $10$ years
• D. $8$ years

Answer 1

The correct option is C $10$ years

Let the no, of years be $x$

$\therefore (30+x):(6+x)=5:2$

$\therefore 2(30+x)=5(6+x)$

$\therefore 60+2x=30+5x$

$5x-2x=60-30$

$3x=30$

$x=\frac{30}{3}$

$x=10$

$\therefore$ It takes $10$ years for their ages to be in ratio $5:2$.