Question

Two numbers are in ratio $1:3$. If $5$ is added to both the numbers, the ratio becomes $1:2$. Find the sum of numbers.

Answer 1

Let the numbers be $x$ and $3x$

Then,

$\frac{x+5}{3x+5}=\frac{1}{2}$

$\Rightarrow 2x+10=3x+5$

$\Rightarrow x=5$

Hence, the numbers are $5$ and $15$

$\therefore$ Sum of numbers = $20$