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3401 digits are used to print the page numbers of a book. How many pages does the book have?

 May 13, 2020
 #1
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Pages:

1-9    9 digits

10-99   180 digits

100-999  2700 digits

    total so far  2889

       the rest of the pages are 4 digits long

 

(3401 - 2889) / 4 = 128     more pages past 999            999 +128 = 1127 pages

 May 13, 2020
 #2
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If you added all the individual  digits of each page together, i.e. 15th page would be considered as 1+5, then you have a book with 1127 pages, which add up to 3401.

 May 13, 2020

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