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#### Sunday Afternoon Maths LXI

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Where is Evariste?Bending a Straw

#### Sunday Afternoon Maths LIX

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Permanent link to this puzzle: mscroggs.co.uk/puzzles/131

Source: Inspired by Math Puzzle of the Week blog

Brendan and Adam are playing lots more games of high stakes cribbage: whoever
loses each game must double the other players money. For example, if Brendan has £3 and Adam has £4 then Brendan wins, they will have £6
and £1 respectively.

In each game, the player who has the least money wins.

Brendan and Adam notice that for some amounts of
starting money, the games end with one player having all the money; but for other amounts, the games continue forever.

For which
amounts of starting money will the games end with one player having all the money?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXI,

puzzles about crosswords, or a random puzzle.

puzzles about crosswords, or a random puzzle.