Henry Ernest Dudeney/Modern Puzzles/12 - A Weird Game

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Modern Puzzles by Henry Ernest Dudeney: $12$

A Weird Game
Seven men engaged in play.
Whenever a player won a game he doubled the money of each of the other players.
That is, he gave each player just as much money as each had in his pocket.
They played $7$ games and, strange to say, each won a game in turn in the order of their names,
which began with the letters $\text A$, $\text B$, $\text C$, $\text D$, $\text E$, $\text F$, and $\text G$.
When they had finished it was found that each man had exactly $2$ shillings and $8$ pence in his pocket.
How much had each man had in his pocket before play?


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