Question

The sum of two numbers is 56. The difference between the two numbers is 12. What are the two numbers?

Answer 1

34 and 22

Explanation:

x + y = 56 Add the two equations together

x - y = 12

2x = 56 Divide both sides by 2

x = 34

substitute 34 for x in either of the two original equations to solve for y

x + y = 56

34 + y = 56 Subtract 34 from both sides

y = 22

Check:

x + y = 56

34 + 22 = 56 Checks

x - y = 12

34 - 22 = 12

12 = 12 Checks

Answer 2

Explanation:

x+y=56

x+12=y

2x+12=56

2x=44

x=22

y=56-22

y=34

x=22

hope this helps