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MathNet 1970 — Part 01 Question 8

Math Olympiad Vault · MathNet 1970 — Part 01

Question 8

a) Find all positive integers with initial digit $6$ such that the integer formed by deleting this $6$ is $1/25$ of the original integer.


b) Show that there is no integer such that deletion of the first digit produces a result which is $1/35$ of the original integer.