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IMAS 2014–2015 — Junior — Round 2 Question 10

IMAS · IMAS 2014–2015 — Junior — Round 2

Question 10

In a book fair, the organizers give a book to each participant. Each male participant gives every other male participant a book, and each female participant gives every other female participant a book. If the total number of books received by the male participants is 31 more than the total number of books received by the female participants, how many participants are there altogether?