Number theory · Decimal representation · Digits · Carrying · Parity
Problem 4, 2010
Find the smallest three-digit number with the following property: if its digits are written in the reverse order and the number so obtained is added to the original number, then every digit of the sum is odd.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2010, 1. letnik, category A, problem 4. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source