Question

If the sum of two numbers is 22and their difference is 8 then the numbers are

Answer 1

Solution is attached below in image

Answer 2

Here is the answer

Given =>
Sum of two numbers = 22
Difference = 8

To find =>
Those numbers = ?

Solution

Let the first number be x
let the second number be y.

Now,

According to the first condition,

$\bf{x + y = 22}$

Let this be eq. (1)

According to the second Condition,

$\bf{x - y = 8}$
Let this be eq. (2)

Now,

Add eq. (1) and eq. (2)

$\: \: \: \: \: \: \bf{x + y = 22} \\ + \: \: \: \bf { x - y = 8} \\ ------- \\ = \bf{2x = 30}$

$\bf{x = \frac{30}{2} = 15}$
Thus,
x = 15.

Now,

x + y = 22

15 + y = 22

y = 22 - 15

y = 7

Thus,
y = 7

Now,

First number = 15
Second number= 7.

This is the answer.