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1970 Canadian MO Problems/Problem 4

Revision as of 03:01, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == a) Find all positive integers with initial digit <math>6</math> such that the integer formed by deleting <math>6</math> is <math>1/25</math> of the original intege...")
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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

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