The number of digits you have to type to write all the page numbers of a book starting from 1(first page) is 2022. What is the number of pages in that book?
Answers
Given : The number of digits you have to type to write all the page numbers of a book starting from 1(first page) is 2022.
To Find : What is the number of pages in that book?
Solution:
Number of Digits in 1 Digit number (1 to 9 ) = 9
Number of digits in 2 digits numbers (10 - 99) = 90 x 2 = 180
Number of digits in 3 digits numbers (100 - 999) = 900 x 3 = 2700 will over pass 2022 and all 3 digit numbers would not be used.
Last page would be a 3 Digit Numbers
Number of Digits used in 3 Digit number = 2022 - 9 - 180
= 1,833
Pages of 3 Digits numbers = 1833/3 = 611
Last page = 100 + 611 - 1 = 710
number of pages in that book = 710
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Answer:
710
Step-by-step explanation:
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