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2

Part of 1999 Greece Junior Math Olympiad

Problems(1)

xy = nx+ny, min and max x in terms of n (Greece Junior 1999 p2)

Source:

3/17/2020
Let nn be a fixed positive integer and let x,yx, y be positive integers such that xy=nx+nyxy = nx+ny. Determine the minimum and the maximum of xx in terms of nn.
number theoryminimummaximum