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IMSO 2006 Mathematics Contest in Taiwan – Short Answer Question 7

IMSO Maths · IMSO 2006 Mathematics Contest in Taiwan – Short Answer

Question 7

The first digit of a 6-digit number is 1. We move this 1 so that it becomes the last digit, without disturbing the order of the other five digits. For example, 123456 becomes 234561. If the new number is exactly 3 times the original number, what is the original number?