Sum of 11 Numbers

 


The sum of 11 positive integers is 65. Show that at least two of the eleven numbers are equal.

* Positive integers include all the counting numbers starting with 1: 1, 2, 3, 4, etc. 

Hint

What is the sum of the first ten whole numbers?

Also, what if you start by assuming that the 
eleven numbers are all different?!

Check your answer


 

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