Question

The pages of a book are numbered 1, 2, 3, … In total, it takes 852 digits to number all the pages of the book. What is the number of the last page?

Answer 1

Answer:

Number of the last page is 320

Step-by-step explanation:

Number of pages

1 to 9 = 9

11 to 99 = 20 * 9 = 180

100 to 199 = 30 * 10 = 300

200 to 299 = 30 * 10 = 300

300 to 319 = 60

320 = 3

Total pages = 9 + 180 + 300 + 300 + 60 + 3 = 852