Two negative integers are five units apart on the number line and their product is 126. What is the sum of the two integers?

It can be quickly determined what the two numbers are once you realize that

-10 and -15 are five unites apart and their product is 150

So, we need two smaller numbers.

Try, (-9)(-14) = 126 It works!

Therefore the sum is -9 + -14 = -23

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