document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400452>Question 400452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why do consecutive numbers always have the sum of an odd number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283445 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because one of the numbers must be 0 mod 2, and the other must be 1 mod 2. Their sum is congruent to 1 mod 2, so the sum is always odd. </SPAN>\n" );
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