Question

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

Answer 1

Let one of the numbers be x.

Then the other number will be 45 – x

By the given condition

$\frac{x}{45-x}$ = $\frac{7}{8}$

By cross multiplying, We have

8x = 7(45 – x)

8x + 7x = 315

x = 21

Thus, one number is 21 and the other number is 45 - 21 = 24