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Bosnia and Herzegovina JBMO TST 2017 Problem 1

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2017

September 16, 2018
Digitsnumber theory

Problem Statement

Find all positive integers xyz‾\overline{xyz} (xx, yy and zz are digits) such that xyz‾=x+y+z+xy+yz+zx+xyz\overline{xyz} = x+y+z+xy+yz+zx+xyz
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