Determine three consecutive whole numbers where two times the smallest number is added to the middle number and then added to three times the largest number to total 73

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Determine three consecutive whole numbers where two times the smallest number is added to the middle number and then added to three times the largest number to total 73

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Step 1

Let a is the first number.

So three consecutive whole numbers are a, a+1, and a+2.

Two times the smallest number is added to the middle number and then added to three times the largest number to total 73. So,

2a+(a+1)+3(a+2)=73

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