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1

Part of 2010 Cono Sur Olympiad

Problems(1)

Sum of two fractions

Source: Cono Sur 2010 #1

11/17/2015
Pedro must choose two irreducible fractions, each with a positive numerator and denominator such that:
[*]The sum of the fractions is equal to 22. [*]The sum of the numerators of the fractions is equal to 10001000.
In how many ways can Pedro do this?
number theorycono sur