Solution #46: Thirty-two Cards

At the end of the game each of the four players has 8 cards. Christopher, having just shared half his cards between Brian and Alfred, must have had 16 cards and Alfred and Brian 4 each. But Brian had just shared half his cards between Christopher and Alfred: before that share-out, Brian must have had 8, Alfred 2, and Christopher 14. But this was just after Alfred shared half his cards between Brian and Christopher.

Hence at the start Alfred had 4 cards, Brian 7, Christopher 13, and Damon (who was not involved in the three various share-outs) 8.


Source: Berrondom, Marie
Categories: Arithmetic, Backwards, Reasoning
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