the sum of two numbers is 11 and the differnce is 5

Answer 1

x + y = 11 (the sum of two numbers is 11)

x - y = 5 (the difference between two numbers is 5)

Add those two equations together:

x + x = 2x

y - y = 0

11 + 5 = 16

So you get 2x = 16

Divide both sides by 2: x = 8

So one of the numbers is 8. Plug that into either equation: 8 + y = 11

Subtract 8 from both sides: y = 3.

The two numbers are 8 and 3.