Question

The ages of Nishi and Vinnee are in the ratio of $6:5$. After $9$ years the ratio of their ages will be $9:8$. What is the difference in their ages?

• A. $9$ years
• B. $7$ years
• C. $5$ years
• D. $3$ years

Answer 1

The correct option is D $3$ years

$\frac{6x+9}{5x+9}=\frac{9}{8}$
$\Rightarrow 8(6x+9)=9(5x+9)$
$\Rightarrow 48x+72=45x+81$
$\Rightarrow 3x=9$
$\therefore x=3$
$Difference=6x-5x=x=3years$.