MathDB
Number Theory

Source: RMO 2016 Karnataka Region P3

October 16, 2016
number theory

Problem Statement

Let a,b,c,d,e,d,e,fa,b,c,d,e,d,e,f be positive integers such that ab<cd<ef\dfrac a b < \dfrac c d < \dfrac e f. Suppose af−be=−1af-be=-1. Show that d≥b+fd \geq b+f.
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