Find two numbers whose sum is 24 and difference is 8.

Let the two numbers be x and y.

Since, it is given that their sum is 24,

We can write, x + y = 24

For forming second equation, we will use their difference, which is 8.

So, we can write,

x – y = 8

(we can assume any number to be greater. Here, we assumed the greater number is x)

Here, coefficient of y is equal in magnitude and opposite in sign.

So, if we add the above two equations, it will be eliminated.

Adding equation (1)and(2)

We get

2x = 32

⇒ x =

⇒ x = 16

Substituting the value of x in eq(1)

We get

x + y = 24

⇒ 16 + y = 24

⇒ y = 24 – 16

⇒ y = 8

Hence, the two required numbers are 16 and 8.