Number theory · Digits · Two digit numbers · Linear diophantine equation · Age problem
Jana and Zana each wrote down her own age. Both ages turned out to be two-digit numbers written with the same two digits, only in the opposite order. Five years from now, Jana will be exactly twice as old as Zana will be then. By how many years is Jana older than Zana?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2006, 1. letnik, category A, problem 2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source