How do you find three consecutive integers whose sum is -30?

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Answer 1 · 2016-05-13T18:06:04

The integers are
#color(blue)(-11 , -10# and # color(blue)(- 9 #

Let us denote the three consecutive integers as:

#x , x+1# and #x +2 #

Their sum is #-30:#

#x + x+1 + x +2 = -3 0 #

#3x + 3= -3 0 #

#3x = -3 0 - 3 #

#3x = -33 #

#x = -33 / 3#

#x = -11#

The three integers are: