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Part of 1985 Swedish Mathematical Competition

Problems(1)

least natural, first digit move last, new number is 7/2 times the original

Source: 1985 Swedish Mathematical Competition p2

3/28/2021
Find the least natural number such that if the first digit (in the decimal system) is placed last, the new number is 7/27/2 times as large as the original number.
number theoryDigits