Question

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

Answer 1

Answer:

7 and 15

Step-by-step explanation:

Let the numbers be x and y

$x + y = 22$

$x - y = 8$

On adding both

$x + y + x - y = 22 + 8$

$2x = 30$

$x = \dfrac{30}{2}$

$x = 15$

From 1

$15 + y = 22$

$y = 22 - 15$

$y = 7$

Answer 2

Answer:

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