Question

The sum of two numbers is 18 and their difference is 4 what are the two numbers?

Answer 1

7 and 11

Explanation:

Let the two numbers be x and y

x+y = 18

x-y = 4

Add the two equations together to eliminate y

x+y = 18

x-y = 4

----------------

2x +0y = 22

Divide each side by 2

2x/2 = 22/2

x = 11

Solve for y

x+y = 18

11+y =18

Subtract 11 from each side

11+y-11 =18-11

y = 7

The two numbers are 7 and 11