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MathNet 2015-part-05 — 191 problems (EN–VI) Question 147

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 147

Eva, Igor, Marko, and Maruša each wrote a positive integer on a piece of paper. If we would erase the last digit of Eva's number we would get Igor's number. If we would erase the last digit of Igor's number we would get Marko's number. If we would erase the last digit of Marko's number we would get Maruša's number. The sum of all four written numbers was $3838$. Which numbers did Eva, Igor, Marko, and Maruša write?