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

26 + -57 = -31

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