document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139232>Question 139232</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find 2 consecutive odd integers whose sum is 65. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101525 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No such integers exist.  If you add two odd integers, then the sum must be even.  Proof: The nth odd integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-1 ALIGN=MIDDLE  ALT=\"2n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the mth odd integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2m-1 ALIGN=MIDDLE  ALT=\"2m-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282n-1%29%2B%282m-1%29=2n%2B2m-2 ALIGN=MIDDLE  ALT=\"%282n-1%29%2B%282m-1%29=2n%2B2m-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is divisible by 2 and therefore even.\r<BR>\n" );
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document.write( "Now there are two consecutive integers that sum to 65, but one of them is even and the other one odd.  Write back or re-post if that is what you really meant. </SPAN>\n" );
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