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MathNet 2010 — Part 02 Question 8

Math Olympiad Vault · MathNet 2010 — Part 02

Question 8

Ball of Marble - Three friends play a marble ball game, convicting that the loser of each round folds the balls of the other players, that is, he gives the other two such a number of balls that they are twice as big as they had at the beginning of the round. The first player lost the first round, the second player the second, the third to the third and all finished with 64 balls each. How many balls did each of the three friends start this match with?