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Chapter 2: Q. 111 (page 129)

Find three consecutive odd integers whose sum is −213.

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information 

Sum of three consecutive odd integer is -213.

02

Step 2. Concept 

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

03

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

3x+6=-213Subtract6fromboththesides3x=-213-63x=-219Divideby3x=-73

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

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

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