Question

Two numbers are in the ratio $2:3$. If $2$ is subtracted form the first and $2$ is added to the second, the ratio becomes $1:2$. What is the sum of the number?

• A. $30$
• B. $28$
• C. $24$
• D. $10$

Answer 1

The correct option is A $30$

Let the two numbers be $2x$ and $3x$. Then,
$\frac{2x-2}{3x+2}=\frac{1}{2}\Rightarrow 4x-4=3x+2\Rightarrow x=6$
$\therefore$ The numbers are $12$ and $18$.
Required sum$=12+18=30$.