Removing digits
Number Theory
Level
5
Find the number of integers \(N\) between \(1\) and \(1000000000=10^9\) (inclusive) such that crossing out the first digit of \(N\) results in the integer \(\frac{N}{25}\)?
Details and assumptions
As an explicit example, crossing out the first digit of the integer \(102\) results in the integer \( 2\).
by
Calvin Lin