Question

Two numbers are in the ratio $5:3$. If their difference is $18$ then find the numbers.

Answer 1

Given the numbers are in the ratio $5:3$.

Let the numbers be $5x$ and $3x$.

Then their difference is $5x-3x=2x$.

According to the problem, we've,

$2x=18$

or, $x=9$.

Then the numbers are $45$ and $27$.