document.write( "Question 1175628: To number the pages of a book, 2022 digits are used. How many pages are in the book?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #801269 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Numeration of pages goes from 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "9 pages with 1-digit numbers, from 1 to 9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "90 pages with 2-digit numbers, from 10 to 99.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The rest of numbers are 3-digit.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = 611  pages with 3-digit numbers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Total pages = 9 + 90 + 611 = 710.      ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );