Question

The sum of two numbers is $45$ and their ratio is $7:8$. Find the numbers.

Answer 1

Let the two numbers be $7x$ and $8x$.

Given, their sum is $45$.

Therefore, $7x+8x=45$

$\Rightarrow 15x=45$

$\Rightarrow x=3$

Therefore, two numbers are $7x=7\times 3=21$ and $8x=8\times 3=24$.