Subject: Printer number question

Name: Lucy

Who is asking: Student
Level: Middle

I have a question that I keep making mistakes on and can't seem to get the answer. Here it is: A printer uses 1008 digits to number the pages of a book. How many pages are there in the book?

Thank you for helping,


Hi Lucy,
  • The first 9 pages take one digit each (1,2,3,...,9)
    For a total of 9 digits.

  • The next 90 pages take 2 digits each (10,11,12,13,...,99)
    for total of 2 x 90 = 180 digits

To this point, in 99 pages, you have used 9 + 180 = 189 digits. Thus you have 1008 + 189 = 819 digits left. How many "three digit" pages can you number with 819 digits?

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