SOLUTION: 852 digits are used to number the pages of a book consecutively from page 1. How many pages are there in the book?

Question 923508: 852 digits are used to number the pages of a book consecutively from page 1. How many pages are there in the book?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
1 - 9 = 9 digits
10 - 99 = 90*2 = 180 digits
100 - 999 = 900*3 = 2700 digits
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There are more than pages, but there
are less than pages
---------------------------
I can say:
Let = number of pages in book

There are 341 pages
I hope this logic is right -you might want
a 2nd opinion, too

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
852 digits are used to number the pages of a book consecutively from page 1. How many pages are there in the book?
---------
1 to 9 = 9 digits
10 to 99 = 2*90 = 180 digits
--> 1 to 99 uses 189 digits
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852 - 189 = 663
3 digits per page --> 663/3 = 221 pages starting at page 100
Page 100 to 320 is 221 pages
--> 320 pages total
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The other tutor's method is good, but 852 got transposed to 825.
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