Dead Center - Futility Closet

Dead Center

In a shooting match, Andryusha, Volodya, and Borya each fired 6 shots, and each totaled 71 points.

Andryusha’s first 2 shots earned him 22 points, and Volodya’s first shot earned 3 points.

Who hit the bullseye?

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The only way to partition the 18 shots into 3 equal sets of 6 is: 25, 20, 20, 3, 2, 1 25, 20, 10, 10, 5, 1 50, 10, 5, 3, 2, 1 The first row must be Andryusha’s, since it’s the only one that contains two numbers totaling 22. The score 3 appears only in the first and third rows, so the third must be Volodya’s. Thus he hit the bullseye. From Boris Kordemsky’s The Moscow Puzzles, 1956.