MathDB
(a+1)/b+b/a

Source: Romanian TST for BMO 1991

July 14, 2009
quadraticsnumber theory proposednumber theory

Problem Statement

Suppose that a,b a,b are positive integers for which A\equal{}\frac{a\plus{}1}{b}\plus{}\frac{b}{a} is an integer.Prove that A\equal{}3.