Question

The ratio of the present ages of Sunita and Vinita is $4:5$. Six years hence, the ratio of their ages will be $14:17$. What will be the ratio of their age $12$ years hence?

• A. $15:19$
• B. $13:15$
• C. $16:19$
• D. $17:19$

Answer 1

The correct option is C $16:19$

Let the present ages of Sunita and Vinita be $4x$ and $5x$ respectively. Then,
$\frac{4x+6}{5x+6}=\frac{14}{17}\Rightarrow 17(4x+6)=14(5x+6)$
$\Rightarrow 68x+102=70x+84$
$\Rightarrow 2x=18\Rightarrow x=9$
$\therefore Requiredratio=\frac{4\times 9+12}{5\times 9+12}=\frac{48}{57}=\frac{16}{19}=16:19$.