Question

Find three consecutive integers whose sum is −3.

Short answer

The integers are $-2,-1,0$.

Step-by-step solution

Step 1. Given information 

We have been given that the sum of three consecutive integers is −3.

We have to find the integers.

Step 2. Form the equation 

Let the first integer be x.

So, the next two consecutive integers will be $(x+1),(x+2)$.

As per the given statement,

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

Step 3. Solve the equation 

$$\begin{gathered} x+x+1+x+2=-3 \\ 3x+3=-3 \\ 3x=-3-3 \\ 3x=-6 \\ x=\frac{-6}{3} \\ x=-2 \end{gathered}$$

Thus$x+1=-1$ and $x+2=0$.