The sum of two numbers is 52. The larger number is 8 more than the smaller number. What are the numbers?

The smaller number is 22

The larger number is 30

Step-by-step explanation:

L + S = 52

L = S + 8

Set both equations equal to L.

S + 8 = - S + 52

+S + S

2S + 8 = 52

- 8 - 8

2S = 44

S = 22

To find the larger number, plug 22 in as S into the equations.

L = 30