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March 1, 2015

March 1, 2015

Posted by **Rock** on Thursday, April 15, 2010 at 3:55am.

The sum of those n numbers is 500.

The sum of the smallest three of those numbers is 48.

The sum of the largest two of those numbers is 35.

(Note: There might be some repetitions among the numbers ak in that list.)

(a) What are the possible values of n ? Explain your reasoning.

(b) Can each of those values of n occur if we require all the numbers ak to be integers?

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