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MathNet 2008-part-01 — 165 problems (EN–VI) Question 55

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 55

How many pairs $(m, n)$ of positive integers with $m \lt n$ fulfill the equation
$$
\frac{3}{2008} = \frac{1}{m} + \frac{1}{n} ?
$$