Explanation Given Information: The sum of three consecutive odd integers is 89 less than twice the largest of the three integers. Formula used: Subtraction property of equality states that: If a = b then a − c = b − c . Calculation: As it is provided that the sum of three consecutive odd integers is 89 less than twice the largest of the three integers. Let the smallest odd integer be x . And also, the consecutive odd integers differ by two, that is, 1 , 3 , 5 … So, the next consecutive odd integer will be two added to the current integer. Thus, the second consecutive odd integer will be x + 2 and the third consecutive odd integer will be x + 4 . Thus, according to the provided information: ( x ) + ( x + 2 ) + ( x + 4 ) = 2 ( x + 4 ) − 89 3 x + 6 = 2 x + 8 − 89 Now, use the subtraction property of equality which states that if a = b then

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ISBN: 9781260673531

Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy

Publisher: McGraw-Hill Education

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Chapter 2.4, Problem 28PE

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To calculate: The value of three consecutive odd integers if the sum of those integers is 89 less than twice the largest of the three integers.

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Chapter 2.4, Problem 27PE

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The value of three consecutive odd integers if the sum of those integers is 89 less than twice the largest of the three integers.

Solution Summary: The author calculates the value of three consecutive odd integers if their sum is 89 less than twice the largest.

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