# Fractions and Integers

If x/4+y/5=19/20 where x and y are positive integers then x+y is?

If you multiply through by 20 then you'll have 5x+4y=19 where x and y are positivie integers. Can you solve that? Hint: you only need to look at the integers less than 4.

Thanx a lot.

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1. Modular arithmetic..

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