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

1 Answer
May 13, 2016

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

Explanation:

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:

  1. x = color(blue)(-11

  2. x + 1 = - 11 + 1 =color(blue)( -10

  3. x + 2 = - 11 + 2 = color(blue)(- 9