document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147033>Question 1147033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of six consecutive odd integers is 372, what is the smallest of the six integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768310 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52848)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "The \"stupid\" straightforward way is to write an equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 372 \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and to solve it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "That unique solution \"x\" will be your answer.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The more reasonable way is to divide 372 by 6,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=372%2F6 ALIGN=MIDDLE  ALT=\"372%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 62.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the three consecutive odd numbers in the DESCENDING order from 62 are \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    61, 59, 57,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "giving you the answer 57.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "<U>CHECK</U>.  57 + 59 + 61 + 63 + 65 + 67 = 372.   ! PRECISELY correct !\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solved.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The second method works quickly and nicely even if the problem asks you about, let say, 99 consecutive odd integer numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "/\/\/\/\/\/\/\/\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hello,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "yesterday and today i solved TENS problems for you giving you FIRST CLASS solutions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But I did not get any \"THANKS\" for it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When it happens, I start thinking for whom I work . . . \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As a polite (civilized) person, YOU MUST REACT.\r<BR>\n" );
document.write( "\n" );
document.write( "You MUST respond with your \"THANKS\".\r<BR>\n" );
document.write( "\n" );
document.write( "Did your mother teach you ?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As a polite (civilized) person, YOU MUST REACT.\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You MUST respond with your \"THANKS\".\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Did your mother teach you ?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As a polite (civilized) person, YOU MUST REACT.\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You MUST respond with your \"THANKS\".\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Did your mother teach you ?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );