Question

The sum of two numbers is 62, and their difference is 12. What are the numbers? Show work

Answer 1

37 and 25 are the answers

Answer 2

x = 37

y = 25

Explanation:

Let the larger number = x

Let the smaller number = y

x + y = 62

x - y = 12 Add

2x = 74 Divide by 2

x = 74/2

x = 37

x - y = 12

37 -y = 12 Subtract 37 from both sides

-y = 12 - 37

-y = -25 Multiply both sides by - 1

y = 25