document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667785>Question 667785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive odd numbers is 8/15. Find the numbers.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415238 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=odd ALIGN=MIDDLE  ALT=\"odd\"   DISABLED_style= \"max-width:90%; height:auto;\" > number, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2 ALIGN=MIDDLE  ALT=\"x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are consecutive odd numbers.\r<BR>\n" );
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document.write( "The sum of the reciprocals of two consecutive odd numbers is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%29%2B%281%2F%28x%2B2%29%29=8%2F15 ALIGN=MIDDLE  ALT=\"%281%2Fx%29%2B%281%2F%28x%2B2%29%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%28x%2B2%29%2Fx%28x%2B2%29%29%2B%281x%2Fx%28x%2B2%29%29=8%2F15 ALIGN=MIDDLE  ALT=\"%281%28x%2B2%29%2Fx%28x%2B2%29%29%2B%281x%2Fx%28x%2B2%29%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%2B1x%29%2Fx%28x%2B2%29%29=8%2F15 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%2B1x%29%2Fx%28x%2B2%29%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B2%29%2F%28x%28x%2B2%29%29=8%2F15 ALIGN=MIDDLE  ALT=\"%282x%2B2%29%2F%28x%28x%2B2%29%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >........cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%282x%2B2%29=8%2Ax%28x%2B2%29 ALIGN=MIDDLE  ALT=\"15%282x%2B2%29=8%2Ax%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%2B30=8x%5E2%2B16x ALIGN=MIDDLE  ALT=\"30x%2B30=8x%5E2%2B16x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=8x%5E2-30x%2B16x-30 ALIGN=MIDDLE  ALT=\"0=8x%5E2-30x%2B16x-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-14x-30=0 ALIGN=MIDDLE  ALT=\"8x%5E2-14x-30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14x ALIGN=MIDDLE  ALT=\"-14x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-24x ALIGN=MIDDLE  ALT=\"10x-24x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2%2B10x-24x-30=0 ALIGN=MIDDLE  ALT=\"8x%5E2%2B10x-24x-30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2-24x%29%2B%2810x-30%29=0 ALIGN=MIDDLE  ALT=\"%288x%5E2-24x%29%2B%2810x-30%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%28x-3%29%2B10%28x-3%29=0 ALIGN=MIDDLE  ALT=\"8x%28x-3%29%2B10%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%2B10%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%288x%2B10%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions: positive solution\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=0 ALIGN=MIDDLE  ALT=\"x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......=>.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the numbers are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%29%2B%281%2F%28x%2B2%29%29=8%2F15 ALIGN=MIDDLE  ALT=\"%281%2Fx%29%2B%281%2F%28x%2B2%29%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2B%281%2F5%29=8%2F15 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2B%281%2F5%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2A5%2B1%2A3%29%2F15=8%2F15 ALIGN=MIDDLE  ALT=\"%281%2A5%2B1%2A3%29%2F15=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2B3%29%2F15=8%2F15 ALIGN=MIDDLE  ALT=\"%285%2B3%29%2F15=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F15=8%2F15 ALIGN=MIDDLE  ALT=\"8%2F15=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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