Answered

Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total of pages. ​

Sagot :

Mhanifaidn

Answer:

  • 394 pages

Step-by-step explanation:

1- digit numbers:

  • 1 to 9, number of digits = 9

2- digit numbers:

  • 10 to 99, number of digits = 2(99 - 9) = 180

3- digit numbers:

  • 100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

Let it be x, then we have:

  • 9 + 180 + 3(x - 99) = 1074
  • 3(x - 99) = 1074 - 189
  • 3(x - 99) = 885
  • x - 99 = 885/3
  • x - 99 = 295
  • x = 295 + 99
  • x = 394
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.