The sum of four numbers is 144. If you add 5 to the first number, 5 is subtracted from the second number, the third is multiplied by 5 and the fourth is divided by 5, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.1: Transforming Equations: Addition And Subtraction
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The sum of four numbers is 144. If you add 5 to the first number, 5 is subtracted from the second number, the third is multiplied by 5 and the fourth is divided by 5, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

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