Question

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have ?

Answer 1

The number of pages in the book is 1049.

Step-by-step explanation:

Given that,

The Page numbers in the book with single-digit are = 9

For the page numbers with two-digits = 90*2= 180 digits are used.

For the page numbers with three-digits = 900*3=2700 digits are used.

So, the total digits used till now = 2700 + 180 + 9 = 2889.

Remaining digits that are to be used = 3089-2889

= 200

So, the number of pages with four-digits = 50*4

= 200

So, the total number of pages in the book =  9 + 90 + 900 + 50

= 1049

Learn more: How many pages are there in the book

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