document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716395>Question 716395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why is this statement true. The sum of an even and odd number is always an odd number. (Hint: every off number is an even number plus 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806515 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> integer = n\r<BR>\n" );
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document.write( "even: n = 2k for some value of k<BR>\n" );
document.write( "odd: n = 2k + 1 for some value of k\r<BR>\n" );
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document.write( "even + odd = 2k + (2k + 1) = 4k + 1\r<BR>\n" );
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document.write( "4k is divisible by 2, so (even) + (odd) produces an odd number </SPAN>\n" );
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