Question

The difference of two positive numbers is $45$ and their ratio is $8:3$. What are the numbers?

Answer 1

The ratio of two positive numbers $=8:3$

Let, the numbers be $8x,3x$ then

According to the question,

$8x-3x=45$

$⟹5x=45$

$⟹x=\frac{45}{5}$

$\therefore x=9$

The required numbers are $72,27$ respectively.