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Animals on a rabbit hunt

Source: Finnish Mathematics Competition 2008, Final Round, Problem 1

November 14, 2011
number theory unsolvednumber theory

Problem Statement

Foxes, wolves and bears arranged a big rabbit hunt. There were 4545 hunters catching 20082008 rabbits. Every fox caught 5959 rabbits, every wolf 4141 rabbits and every bear 4040 rabbits. How many foxes, wolves and bears were there in the hunting company?
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