Question

The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers?

Larger number:
Smaller number.

Answer 1

Answer: Larger number: 23

Smaller number: 15

Explanation:

let x be the smaller number, then the larger number would be x+8

x + (x + 8) = 38

2x + 8 = 38

2x = 30

x = 15

larger number = x + 8 = 15 + 8 = 23

Answer 2

Larger number: 23

Smaller number. 15

Explanation:

y = x - 8

x + y = 38

substitute for y:

x + x - 8 = 38

2x = 46

x = 23

y = 15