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Three players have played three rounds of a gambling game. Each round has one loser and two winners. The losing player must pay each winner

Three players have played three rounds of a gambling game. Each round has one loser and two winners. The losing player must pay each winner the amount of money that the winning player had at the beginning of the round. At the end of the three rounds each player has 510. You are told that each player has won one round. By working backward, determine the original stakes of the three players. [Note: If the answer turns out to be (for example) 5, 15, 10, don't worry about which player had which stake; we can't really tell which player ends up with how much, but we can determine the numerical values of the original stakes.]

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