Question

The sum of two number is 22 and difference is 8. Find the numbers.

Answer 1

`take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = (14)/(2) \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you`

Answer 2

7 and 15

Explanation:

Let the numbers be x and y

`x + y = 22`

`x - y = 8`

On adding both

`x + y + x - y = 22 + 8`

`2x = 30`

`x = (30)/(2)`

`x = 15`

From 1

`15 + y = 22`

`y = 22 - 15`

`y = 7`