olymmath

VWO 2006 Problem 3

    Elfs and trolls are seated at a round table, 60 creatures in total. Trolls always lie, and all elfs always speak the truth, except when they make a little mistake. Everybody claims to sit between an elf and a troll, but exactly two elfs made a mistake! How many trolls are there at this table?

    Dataset text AI-MO AoPS. Quoted with source.

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