Question

Find three consecutive odd integers whose sum is −213.

Short answer

Three consecutive odd integers whose sum is -213 are -73,-71 and -69.

Step-by-step solution

Step 1. Given information 

Sum of three consecutive odd integer is -213.

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 $x+x+2+x+4=-213$

Solving for $x$

$$\begin{gathered} 3x+6=-213 \\ Subtract6fromboththesides \\ 3x=-213-6 \\ 3x=-219 \\ Divideby3 \\ x=-73 \end{gathered}$$

Other two integers are -73+2=-71 and -73+4=-69

So consecutive odd integers whose sum is -213 are -73,-71 and -69.