hs4110549 hs4110549
  • 08-07-2022
  • Mathematics
contestada

To number the pages of a book, 2022 digits are used. How many pages are in the book?

Respuesta :

av09hw av09hw
  • 08-07-2022

Answer:

710

Step-by-step explanation:

Numeration of pages goes from 1.

9 pages with 1-digit numbers, from 1 to 9.

90 pages with 2-digit numbers, from 10 to 99.

So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.

The rest of numbers are 3-digit.

   [tex]\frac{(2022-189)}{3}[/tex] = 611  pages with 3-digit numbers.

Total pages = 9 + 90 + 611 = 710.

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