document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57475>Question 57475</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201812487/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the sum of three consecutive odd integers is less than 100. What are the greatest possible values of these integers?<BR>\n" );
document.write( "x= 1st odd integer<BR>\n" );
document.write( "x+2= 2nd odd integer<BR>\n" );
document.write( "x+4= 3rd odd integer\r<BR>\n" );
document.write( "\n" );
document.write( "x+x+2+x+4<100<BR>\n" );
document.write( "3x+6<100<BR>\n" );
document.write( "  -6  -6<BR>\n" );
document.write( "3x<94<BR>\n" );
document.write( "dived by 3 both sides<BR>\n" );
document.write( "equals<BR>\n" );
document.write( "x<31 and one third </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39235 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of three consecutive odd integers is less than 100. What are the greatest possible values of these integers?<BR>\n" );
document.write( "x= 1st odd integer<BR>\n" );
document.write( "x+2= 2nd odd integer<BR>\n" );
document.write( "x+4= 3rd odd integer\r<BR>\n" );
document.write( "\n" );
document.write( "x+x+2+x+4<100<BR>\n" );
document.write( "3x+6<100<BR>\n" );
document.write( "  -6  -6<BR>\n" );
document.write( "3x<94<BR>\n" );
document.write( "dived by 3 both sides<BR>\n" );
document.write( "equals<BR>\n" );
document.write( "x<31 and one third<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "You've done everything right so far.  You just need to finalize your thoughts and calculations.  <BR>\n" );
document.write( "Because you need them to be integers:<BR>\n" );
document.write( "x<31  (without the one third)<BR>\n" );
document.write( "The first odd integer: X=31<BR>\n" );
document.write( "The second odd integer: x+2=33<BR>\n" );
document.write( "The third odd integer: x+4=35<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "31+33+35=99<BR>\n" );
document.write( "If you went with 33+35+37=105  So you're right:-)<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );