# 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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