The sum of two numbers is - 31. One number is 83 less than the other. Find the numbers.

26 and - 57

Step-by-step explanation:

First write the equation (Use x for one number and x - 83 for the second):

x + x - 83 = - 31

Next add 83 to both sides:

x + x - 83 + 83 = - 31 + 83

x + x = 2x = 52

Now all you have to do is figure out what x is and you'll have one number, and subtract 83 to find the other number:

52/2 = x = 26

26 - 83 = - 57

Now you have your answer:

26 + - 57 = - 31