Question

Two numbers are in the ratio $5:3$. If they differ by $18$, what are the numbers?

Answer 1

Let $x$ be common ratio
$\therefore$ numbers will be $5x$ and $3x$ respectively.

Difference between these numbers $\Rightarrow 18$
$5x-3x=18$
$2x=18$

Divide both sides by $2$.
$\frac{2x}{2}=\frac{18}{2}$
$x=9$

$\therefore$ First number $=5x=5\times 9=45$
Second number $=3x=3\times 9=27$