Question

The sum of two numbers is $405$ and the ratio between the numbers are $8:7$. Find the numbers.

Answer 1

Given that,

The sum of two numbers is $405$

They are in the ratio $8:7$

So, let the two numbers be $8x$ and $7x$.
According to given data
$8x+7x=405$
$15x=405$
$x=\frac{405}{15}$
$x=27$

Hence,

First number $=$$8x$

$=$$27\times 8$

$=$$216$
Second number $=$$7x$

$=$$27\times 7$

$=$$189$

Hence, the two numbers are $216$ and $189$.