The pages in Nisha s book are numbered from 1. She found that total number of 501 digids are used to write all the page numbers. For example 2 digids for page number 23 and 3 digids for page number 101. How manny pages does the book have?

Question

Mathematics

Kianna Bolton

11 October, 01:57

The pages in Nisha s book are numbered from 1. She found that total number of 501 digids are used to write all the page numbers. For example 2 digids for page number 23 and 3 digids for page number 101. How manny pages does the book have?

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Answers (1)

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Darrell Ritter · Answer 1

There are 9 one-digit pages (1 - 9) → 9 (1)

There are 90 two-digit pages (10 - 99) → 90 (2)

There are "x" three-digit pages (100 - ?) → x (3)

9 (1) + 90 (2) + x (3) = 501

9 + 180 + 3x = 501

189 + 3x = 501

3x = 312

x = 104

Answer: 104 pages