olymmath

SMO 2000 Problem 3

    Is there a positive integer with at most four digits whose value is increased by exactly 60%60\% when the first digit is moved to the end of the number? For example, when the first digit of 12341234 is moved to the end of the number, the result is the integer 23412341 .

    Dataset text AI-MO AoPS. Quoted with source.

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