The sum of four consecutive integers is -42. What are the integers?

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Answer 1 · 2016-10-06T09:08:38

The integers are # -12, -11, -10, -9#

Recall: Consecutive numbers follow each other and are separated by 1 each time, [Like 13, 14, 15, 16, 17 ...]

Let the four integers be #x, x+1, x+2, x+3#

Their sum is -42. Form an equation to show this.

#x+x+1+x+2+x+3 = -42" "larr# now simplify

#4x+6 = -42" "larr# now solve the eqution

#4x = -42-6#

#4x = -48#

#x = -48/4#

#x =-12" "larr# this is the smallest of the integers,

The integers are # -12, -11, -10, -9#