A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have.

Expert Answers

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The pages of the book are numbered starting from 1. A total of 3189 digits are used to number all the pages.

For pages 1 - 9, 9*1 = 9 digits are required.

For pages 10 - 99, 90*2 = 180 digits are required

The number of digits left is 3000

As digits from 100 to 999 require 3 digits each, 3*900 = 2700 digits are used. There are 300 digits remaining that are used to number pages 1000 - 1074

The book has 1074 pages in all.

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