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Chapter 2: Q. 112 (page 129)

Find three consecutive odd integers whose sum is 鈭�267.

Short Answer

Expert verified

Three consecutive odd integers whose sum isare.

Step by step solution

01

Step 1. Given information 

Sum of three consecutive odd integer is -267.

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=-267

Solve for x

3x+6=-267Subtract6frombothside3x=-267-63x=-273Divideby3onbothsides3x3=-2733x=-91

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

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