Question

The sum of two numbers is $53$ and their difference is $25$. Find the numbers.

Answer 1

We have,

Let $x+y=53$ ………..$\left(1\right)$

$x-y=25$ ………..$\left(2\right)$

Additional number,

$2x=78$

$2x=78$

$x=\frac{78}{2}$

$x=39$

x value in equation $\left(1\right)$ to get,

$\therefore x+y=53$

$39+y=53$

$y=53-39$

$y=14$

$\therefore 39$ and $14$ are the number.

Hence, this is answer.