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

Question

2140 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-13T18:06:04

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

Let us denote the three consecutive integers as:

$x, x + 1$ $x , x+1$ and $x + 2$ $x +2$

Their sum is $- 30 :$ $-30:$

$x + x + 1 + x + 2 = - 30$ $x + x+1 + x +2 = -3 0$

$3 x + 3 = - 30$ $3x + 3= -3 0$

$3 x = - 30 - 3$ $3x = -3 0 - 3$

$3 x = - 33$ $3x = -33$

$x = - \frac{33}{3}$ $x = -33 / 3$

$x = - 11$ $x = -11$

The three integers are: