document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328803>Question 328803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If n is any integer, then 2n is an even integer and 2n + 1 is an odd integer.   Consecutive integers are one right after each other.  If n is any integer, then n + 1 would be the next integer and n + 2 would be the next integer and so on.  <BR>\n" );
document.write( "a.)	  Find two consecutive odd integers such that the sum of their reciprocals is the fraction 12 over 35<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235589 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn%2B1%2F%28n%2B2%29=12%2F35 ALIGN=MIDDLE  ALT=\"1%2Fn%2B1%2F%28n%2B2%29=12%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35n%28n%2B2%29 ALIGN=MIDDLE  ALT=\"35n%28n%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%28n%2B2%29%2B35n=12n%28n%2B2%29 ALIGN=MIDDLE  ALT=\"35%28n%2B2%29%2B35n=12n%28n%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35n%2B70%2B35n=12n%5E2%2B24n ALIGN=MIDDLE  ALT=\"35n%2B70%2B35n=12n%5E2%2B24n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12n%5E2-46n-70=0 ALIGN=MIDDLE  ALT=\"12n%5E2-46n-70=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n%5E2-23n-35=0 ALIGN=MIDDLE  ALT=\"6n%5E2-23n-35=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286n%2B7%29%28n-5%29=0 ALIGN=MIDDLE  ALT=\"%286n%2B7%29%28n-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only one of the factors will provide an integer solution.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-5=0 ALIGN=MIDDLE  ALT=\"n-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=5%29 ALIGN=MIDDLE  ALT=\"highlight%28n=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two integers are 5 and 7.<BR>\n" );
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document.write( "Verified,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5%2B1%2F7=7%2F35%2B5%2F35=12%2F35 ALIGN=MIDDLE  ALT=\"1%2F5%2B1%2F7=7%2F35%2B5%2F35=12%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" >} </SPAN>\n" );
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