The printer used 2989 digits to print the page numbers of maths book how many pages are there in the book
Answers
2991 pages are there in the book
The book contains 1024 pages
Step-by-step explanation:
Presume that the book does not contain any unnumbered pages
The first 9 pages, i.e., 1 to 9 have a single digit Page number.
Total number of digits used for printing the page numbers = 2989
After printing the first 9 pages, the remaining digits = 2989 – 9 = 2980
Pages 10 to 99, i.e., 90 pages use 2 digits for printing, i.e., 180 digits.
The remaining digits are = 2980-180 = 2800
Paged 100 to 999 used 3 digits, i.e., 900 pages used 3 digits each, i.e., 2700 digits.
The remaining number of digits are = 2800 – 2700 = 100
Thus, the remaining pages use 4-digit page numbers. 100 digits are remaining.
Thus, the no. of pages which require a 4-digit page number are = 100/4 = 25
Hence, the number of pages in the book include = 9 + 90 + 900 + 25 = 1024 pages
Thus, the book has 1024 pages