MathDB

3

Part of 2000 Singapore MO Open

Problems(1)

first digit is moved to the end of the number, it increases by 60 %

Source: Singapore Open Math Olympiad 2000 2nd Round p3 SMO

4/2/2020
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.
number theoryDigits