SOLUTION: To number the pages of a book, 2022 digits are used. How many pages are in the book?

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Question 1175628: To number the pages of a book, 2022 digits are used. How many pages are in the book?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Numeration of pages goes from 1.


9 pages with 1-digit numbers, from 1 to 9.


90 pages with 2-digit numbers, from 10 to 99.


So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.


The rest of numbers are 3-digit.


    %282022-189%29%2F3 = 611  pages with 3-digit numbers.


Total pages = 9 + 90 + 611 = 710.      ANSWER

Solved.