olymmath

CMO 1970 Problem 4

  • Paper

a) Find all positive integers with initial digit 6 such that the integer formed by deleting 6 is 1/251/25 of the original integer. b) Show that there is no integer such that the deletion of the first digit produces a result that is 1/351/35 of the original integer.

Dataset text AI-MO AoPS. Quoted with source.

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