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'Weekly Problem 52 - 2009' printed from http://nrich.maths.org/

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Kan must know for sure that Roo's cards are either both even or both odd. The only way he can be sure of this is if he's selected the three even cards leaving Roo only odd numbered cards. Therefore Kan has cards $2$, $4$ and $6$ and the sum of his cards is $12$.

This problem is taken from the UKMT Mathematical Challenges.

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