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algebra problem

Source: 48th Austrian Mathematical Olympiad Beginners' Competition

February 28, 2018
algebra

Problem Statement

How many solutions does the equation: [x20]=[x17][\frac{x}{20}]=[\frac{x}{17}] have over the set of positve integers? [a][a] denotes the largest integer that is less than or equal to aa. Proposed by Karl Czakler
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