Question 87
We call a positive integer cheesy if we can obtain the average of the digits in its decimal representation by putting a decimal separator after the leftmost digit. Prove that there are only finitely many cheesy numbers.
Example. For instance, $2250$ is cheesy, as the average of the digits is $2.250$.
Example. For instance, $2250$ is cheesy, as the average of the digits is $2.250$.