Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Cumulative Review: 19

Answer

86, 88, and 90

Work Step by Step

An even integer has a value of exactly 2 less than its next consecutive even integer. And each following consecutive even integer will be exactly 2 more in value than the previous even integer. The sum of 3 consecutive even integers: $x+(x+2)+(x+2+2)=(x+x+x)+(2+2+2)=3x+6$ We can set this sum equal to 264. $3x+6=264$ Subtract 6 from both sides. $3x=258$ Divide both sides by 3. $x=86$ Number 1: 86 Number 2: 86+2=88 Number 3: 86+2+2=90
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