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Problems
Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1970 Canada National Olympiad
4
4
Part of
1970 Canada National Olympiad
Problems
(1)
Delete the digit!
Source: Canada 1970, Problem 4
5/14/2006
a) Find all positive integers with initial digit 6 such that the integer formed by deleting 6 is
1
/
25
1/25
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
1/35
1/35
of the original integer.