Number theory · Digit sum · Decimal representation · Diophantine equation
Find every natural number with the following property: when the sum of its digits is added to the number itself, the result is \(313\).
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2003, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source