In numbering the pages of a book, a total of 510 digits were printed?

If the first page is numbered 1, how many pages does the book have?In numbering the pages of a book, a total of 510 digits were printed?
The first 9 pages are 1 digit each, so there's the 1st 9 digits.


pages 10-99 as 2 digits each so that's 90 pages @ 2 for another 180 digits


That accounts for the 1st 189 digits. 510-189 = 321 digits left to account for at 3 per page, that's another 107 pages + our previous 99 pages gives a 206 page book.In numbering the pages of a book, a total of 510 digits were printed?
11 for 1-10, then 10-99 is 180. so far you have 191. then lets add 100 on, and you have 194. another hundred would be 494, and then add 2 pages would be 500. (we are at 202 right now for page count) and then 10 divided by 3 is 3.3333 so you add three more pages, (205) and if ur rounding thats it!