Question

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

Answer 1

$letthenumbersbexandy$

$\frac{x}{y}=\frac{1}{3}$

$3x-y=0\to 9\left(1\right)$

$now\frac{x+5}{y+5}=\frac{1}{2}$

$2x-y+5=0\to \left(2\right)$

$onsolving\left(1\right)and\left(2\right)$

$x=5;y=15$