Question

The sum of two numbers is 22. The difference is 6. What are the two numbers?

Answer 1

14 and 8

Explanation:

x and 22-x (x+22-x=22)

22-x-x=6

22-2x=6

22-6=2x

16=2x

x=8

22-8=14

Answer 2

Numbers are 14 and 8

Explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

x - y = 6

Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

x = 14

Numbers are 14 and 8