Answer: The pages in the book can be found with the following method;
Explanation:
Step 1
Given that the book starts on page 1 and is numbered on every page.
a)
9 digits are used for numbering pages from 1 to 9
4 digits are used for numbering pages 10 and 11
Then the first eleven pages contain thirteen digits.
b)
9 digits are used for numbering pages from 1 to 9
2×90=180 digits are used for numbering pages 10 and 99
Since the total number of digits used is 516 digits, then
From page 100 to the end of the book, the number of digits used is
516-9-180= 327 digits
Since 3 digits are used for every page, the number of pages is
327 \3 = 109 pages.
Number of pages in the book is
9+90+109= 208 pages.