852 digits are used to number the pages of a book consecutively from page 1. How many pages are there in the book?
The first 9 pages use 1 digit each, so they use 9 digits.
The next 90 pages use 2 digits each, so they use 180 digits.
The remaining pages use 3 digits each. Let n be the number of these pages. Then 3n is the number of digits used to number these pages, so 3n=852−9−180=663. Therefore, n=221.
You had the right idea but didn't implement it correctly:
1- There are 9 single digits from 1 to 9 ==9 pages
2 - You have 180 digits from 10 to 99 ==180 / 2 ==90 pages
3 - You have: 852 - 9 - 180 ==662 digits / 3 ==221 pages.
4 - Total pages in the book==9 + 90 + 221 ==320 pages
If the book uses sequential page numbering using 852 digits, then the total number of pages can be determined by dividing this figure by 2. Since each page has two sides - front and back. I just really love math. I don't like literature, so when asked of mice and men, I used supremestudy.com/essay-examples/of-mice-and-men for that. Therefore, this book should have approximately 426 pages. If I'm not mistaken.