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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 112 (page 129)

Find three consecutive odd integers whose sum is −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

$3 x + 6 = - 267 S u b t r a c t 6 f r o m b o t h s i d e 3 x = - 267 - 6 3 x = - 273 D i v i d e b y 3 o n b o t h s i d e s \frac{3 x}{3} = \frac{- 273}{3} x = - 91$

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

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