Number theory question

Правка en1, от protypuns, 2016-01-31 19:28:18

I was solving a problem, but I couldn't do it. So I looked at the editorial, in witch this was given:

(X + Y) / (A + B) <= MAX{X / A, X / B}

where X, Y, A, B >= 0 and are integers.

So my question is, what is the proof to that? Sorry for the stupid question, but I couldn't find this anywhere.

Теги math, formula

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en2 Английский protypuns 2016-01-31 20:36:20 2 Tiny change: 'AX{X / A, X / B} \n\n' -> 'AX{X / A, Y / B} \n\n'
en1 Английский protypuns 2016-01-31 19:28:18 324 Initial revision (published)