The sum of two numbers is 87 and their difference is 29. what are the two numbers?

58 and 29

Step-by-step explanation:

Set up your equations:

1) x + y = 87

2) x - y = 29

Use one of the equations to focus on when moving the numbers around such as for this one I used equation one:

3) y = -x + 87

x = (-x + 87) + 29

x = -x + 116

x + x = 116

2x = 116

x = 58

Input your value for x:

4) 58 + y = 87

y = 87 - 58

y = 29

Solve and check if your values are correct:

5) 58 + 29 = 89 correct

58 - 29 = 29 correct