Explanation Given Information: The three consecutive integers are such that sum of first integer and one half of second integer with seven less than twice the third integer is 2101. Formula used: The steps to solve the problem: 1. Familiarize the problem situation. 2. Translate the problem to an equation. 3. Solve the equation. 4. Check the answer in the original problem. 5. State the answer to the problem clearly. Calculation: Familiarize: Let the consecutive integers be x, x + 1 and x + 2 . It is given that the first integer plus one-half the second plus seven less than twice the third integer is 2101. Translate: Now, translate the given problem to an equation. Sum of the first number and half the second number with seven less than twice the third integer is equal to 2101 That is: x + ( x + 1 ) 2 + ( 2 ( x + 2 ) − 7 ) = 2101 Solve: Now solve the equation x + ( x + 1 ) 2 + ( 2 ( x + 2 ) − 7 ) = 2101 . Multiply both sides by 2, 2 [ x + ( x + 1 ) 2 + ( 2 ( x + 2 ) − 7 ) ] = 2 × 2101 2 x + ( x + 1 ) + 2 ( 2 ( x + 2 ) − 7 ) = 4202 2 x + x + 1 + 4 ( x + 2 ) − 14 = 4202 2 x + x + 1 + 4 x + 8 − 14 = 4202 Further solve:

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 8.6, Problem 14ES

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To calculate: The value of three consecutive integers if sum of first integer and one half of second integer with seven less than twice the third integer is 2101.

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Chapter 8.6, Problem 13ES

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Ch. 8.1 - Objective 7.1a: Evaluate algebraic expressions by...Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 7DE Ch. 8.1 - Prob. 8DE

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The value of three consecutive integers if sum of first integer and one half of second integer with seven less than twice the third integer is 2101.

Solution Summary: The author calculates the value of three consecutive integers if sum of first integer and one half of second integer with seven less than twice the third integer is 2101.

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To calculate: The value of three consecutive integers if sum of first integer and one half of second integer with seven less than twice the third integer is 2101.

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