Difference between revisions of "1970 Canadian MO Problems/Problem 4"

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Revision as of 04:01, 8 October 2014

Problem

a) Find all positive integers with initial digit $6$ such that the integer formed by deleting $6$ is $1/25$ of the original integer. b) Show that there is no integer such that the deletion of the first digit produces a result that is $1/35$ of the original integer.

Solution