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Combinatorics 5.0/10

Unit Fraction Pairs

How many ordered pairs $(x, y)$ of positive integers satisfy $\frac{1}{x} + \frac{1}{y} = \frac{1}{12}$? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Classic exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.