Question 27
Charlie has a thick book of $n$ pages in which, after opening, the first page on the right shows the page number $1$. Then all the pages are numbered continuously so that if you open the book just anywhere, you see an even page number on the left and an odd page number on the right. The very last page before the back cover has an even number. Unfortunately, someone tore a whole sheet of paper out of the book. Charlie counts the total number of digits of the page numbers on the $n - 2$ remaining pages and arrives at a total of $2024$ digits. (*Note that this is not the sum of the page numbers.*)
What is $n$?
What is $n$?