Number theory · Decimal representation · Place value · Digit equations
Eva, Igor, Marko and Marusa each wrote one natural number on a sheet of paper. Deleting the last digit of Eva's number gives Igor's number; deleting the last digit of Igor's number gives Marko's number; and deleting the last digit of Marko's number gives Marusa's number. The four numbers add up to \(3838\).
Which numbers did Eva, Igor, Marko and Marusa write?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2015, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source