document.write( "Question 1132599: How many 3 digit positive integers exist that when divided by 3 leave a reminder of 2?
\n" ); document.write( "9
\n" ); document.write( "8
\n" ); document.write( "27
\n" ); document.write( "40 \n" ); document.write( "

Algebra.Com's Answer #749685 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The ANSWER is 300, which is not in the list.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "In all, there are 900 three-digit positive integer numbers from 100 to 999.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Every third of them gives a reminder of 2 when is divided by 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They are the numbers \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     101, 104, 107, . . . , 998.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They form an arithmetic progression with the common difference of 3.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved, answered, explained and completed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );