The sum of two numbers is -45. Their difference is -89. Find the numbers.

Question

The sum of two numbers is -45. Their difference is -89. Find the numbers.

Answer 1

A system of equations should do it for two numbers x and y.

x + y = -45

x - y = - 89

Eliminate y to get x by adding the two equations together to give

2x = -134

Divide both sides by 2

x = -67

Plug -67 in for x in the first equation

-67 + y = -45

Add 67 to both sides to solve for y

y = 22

Checking

-67 + 22 = -45

and

-67 - 22 = -89

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