Question

Number are in ratio $1:2$. If $7$ is added to each , the new number are in ratio $\frac{3}{5}$. The greatest number is :

• A. $24$
• B. $26$
• C. $28$
• D. $32$

Answer 1

The correct option is C $28$

Let the no. be $x$ and $2x$

$⟹\frac{x+7}{2x+7}=\frac{3}{5}$

$⟹5x+35=6x+21$

$⟹35-21=6x-5x$

$⟹x=14$ & $2x=28$

Greatest no $=28$