Question

To number a book from 1 up to its last page took 552 digits. How many pages are in the book?

Answer 1

Explanation:

So 552 digits are used to number the pages of a book consecutively from page one. How many pages are there in the book?

1 to 9 = 9 digits

10 to 99 = 2*90 = 180 digits

So, 1 to 99 uses 189 digits.

552 - 189 = 363

3 digits per page = 363/3 = 121 pages starting at page 100.

Page 100 to 220 is 121 pages

220 pages in total

I hope this is logic is right - you might want a second opinion, too.