1. Joined
    26 Apr '03
    Moves
    25839
    22 Sep '10 07:06
    A badminton game is won by the first player to reach 21, unless both players reach 20, in which case it is won by the first player to get 2 points ahead.

    In a particular match, which was best of three, players a and b won one game each, so a third deciding game had to be played.

    For each of the players, the number of points they won in the three games, taken in game order, formed an arithmetic progression, with a non-zero common difference.

    What was the score in the final deciding game?
  2. ALG
    Joined
    16 Dec '07
    Moves
    6190
    22 Sep '10 07:27
    27 - 25
    21 - 23
    15 - 21

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  3. Joined
    26 Apr '03
    Moves
    25839
    23 Sep '10 07:40
    Originally posted by Thomaster
    27 - 25
    21 - 23
    15 - 21

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    Nice one! Can you prove that the score in the final game is always 15-21 ?