Question

Find three consecutive odd integers whose sum is −267.

Short answer

Three consecutive odd integers whose sum isare.

Step-by-step solution

Step 1. Given information 

Sum of three consecutive odd integer is -267.

Step 2. Concept  

Consecutive odd integers are odd integers that follow each other by the difference of 2.

Step 3. Calculation 

Let three consecutive odd integers are $x,x+2,x+4$

Then according to given information

$x+x+2+x+4=-267$

Solve for x

$$\begin{gathered} 3x+6=-267 \\ Subtract6frombothside \\ 3x=-267-6 \\ 3x=-273 \\ Divideby3onbothsides \\ \frac{3x}{3}=\frac{-273}{3} \\ x=-91 \end{gathered}$$

So other integers are -91+2=$-89$ and$-91+4=-87$