Question

Find two consecutive integers whose sum is -29

Answer 1

Example:

The sum of two consecutive integers is -15.  What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer   {consecutive integers increase by 1}

x + x + 1 = -15   {the sum of two consecutive integers is -15}

2x + 1 = -15   {combined like terms}

2x = -16   {subtracted 1 from each side}

x = -8   {divided each side by 2}

x + 1 = -7   {substituted -8, in for x, into x + 1}

-8 and -7 are the two consecutive integers

Their product is 56.

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