document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=306199>Question 306199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can the total of 5 odd numbers would be 32 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219187 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=219187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each odd number can be written as 2*k + 1 for some value of k. Let's say the five numbers are:\r<BR>\n" );
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document.write( "2*k1 + 1<BR>\n" );
document.write( "2*k2 + 1<BR>\n" );
document.write( "2*k3 + 1<BR>\n" );
document.write( "2*k4 + 1<BR>\n" );
document.write( "2*k5 + 1\r<BR>\n" );
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document.write( "The sum of these then is 2*(k1+k2+k3+k4+k5) + 5 =<BR>\n" );
document.write( "2*(k1+k2+k3+k4+k5+2) + 1 which is an odd number so can't be 32 (which is even) </SPAN>\n" );
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