document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055624>Question 1055624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average of 3 consecutive odd numbers is 39. What is the sum of the first 2 numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670791 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUICK MENTAL MATH (good for tests like the SAT):<BR>\n" );
document.write( "The average for 3 (or 5, or 7, or ...) equally spaced numbers is<BR>\n" );
document.write( "the number in the middle.<BR>\n" );
document.write( "So, the 3 consecutive odd numbers are 37, 39, and 41.<BR>\n" );
document.write( "The sum of the first 2 of those numbers is 37+39=76 .<BR>\n" );
document.write( " <BR>\n" );
document.write( "SHOWING YOUR WORK:<BR>\n" );
document.write( "If you have to justify why the average (also called the mean)<BR>\n" );
document.write( "of 3 (or 5, or 7, or ...) equally spaced numbers is<BR>\n" );
document.write( "the number in the middle of the ordered list<BR>\n" );
document.write( "(also called the median),<BR>\n" );
document.write( "the written down explanation below works better.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the first of the 3 consecutive odd numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2 ALIGN=MIDDLE  ALT=\"n%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the second one of the 3 consecutive odd numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B4 ALIGN=MIDDLE  ALT=\"n%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the third one of the 3 consecutive odd numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%2F3=39 ALIGN=MIDDLE  ALT=\"%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%2F3=39\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the average of the 3 consecutive odd numbers.<BR>\n" );
document.write( "Solving that equation, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%2F3=39 ALIGN=MIDDLE  ALT=\"%28n%2B%28n%2B2%29%2B%28n%2B4%29%29%2F3=39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2Bn%2B2%2Bn%2B4%29%2F3=39 ALIGN=MIDDLE  ALT=\"%28n%2Bn%2B2%2Bn%2B4%29%2F3=39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n%2B6%29%2F3=39 ALIGN=MIDDLE  ALT=\"%283n%2B6%29%2F3=39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B6=39%2A3 ALIGN=MIDDLE  ALT=\"3n%2B6=39%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B6=117 ALIGN=MIDDLE  ALT=\"3n%2B6=117\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n=117-6 ALIGN=MIDDLE  ALT=\"3n=117-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n=111 ALIGN=MIDDLE  ALT=\"3n=111\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=111%2F3 ALIGN=MIDDLE  ALT=\"n=111%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=37 ALIGN=MIDDLE  ALT=\"n=37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the second of 3 consecutive odd numbers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2B2=39 ALIGN=MIDDLE  ALT=\"37%2B2=39\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the sum of the first 2 numbers is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2B39=highlight%2876%29 ALIGN=MIDDLE  ALT=\"37%2B39=highlight%2876%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );