Question 923508
852 digits are used to number the pages of a book consecutively from page 1. How many pages are there in the book?
---------
1 to 9 = 9 digits
10 to 99 = 2*90 = 180 digits
--> 1 to 99 uses 189 digits
----
852 - 189 = 663
3 digits per page --> 663/3 = 221 pages starting at page 100
Page 100 to 320 is 221 pages
--> 320 pages total
====================
The other tutor's method is good, but 852 got transposed to 825.