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'Weekly Problem 13 - 2011' printed from http://nrich.maths.org/

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The positive whole numbers a, b and c are all different and $a^2+b^2+c^2 = 121$. What is the value of $a+b+c$?
 
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 
 

This problem is taken from the UKMT Mathematical Challenges.

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