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Flipping Cards

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Flipping Cards

Andy, Bertha and Chris each have a deck of 52 cards. They all have some cards face up and some cards face down. The number of cards Andy has face up is ten more than the number of cards Bertha has face down. The number of cards Bertha has face up is twice the number of cards Chris has face down. The total number of face-up cards is 99. How many cards does Andy have face up?

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Problem by Mr. Twitchell

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