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The sum of five different positive integers is 320. The sum of the greatest three integers in this set is 283. The sum of the greatest and least integers is 119. If x is the greatest integer in the set, what is the positive difference between the greatest possible value and least possible value for x?

 

By the way, CPhill, I know you answered this a long time ago, but the answer is not 22.

 
 Mar 5, 2024

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