olymmath

ILL 1985 Problem 74

    Find all triples of positive integers x,y,zx, y, z satisfying 1x+1y+1z=45.\frac{1}{x} +\frac{1}{y} + \frac{1}{z} = \frac{4}{5} .

    Dataset text AI-MO AoPS. Quoted with source.

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