document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146233>Question 146233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecuive positive integers if the difference of their reciprocals is 1/12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106769 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a<BR>\n" );
document.write( "a+1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+-+1%2F%28a%2B1%29=1%2F12 ALIGN=MIDDLE  ALT=\"1%2Fa+-+1%2F%28a%2B1%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B1-a%29%2F%28a%28a%2B1%29%29=1%2F12 ALIGN=MIDDLE  ALT=\"%28a%2B1-a%29%2F%28a%28a%2B1%29%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28a%28a%2B1%29%29=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F%28a%28a%2B1%29%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This implies\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%28a%2B1%29%29=12 ALIGN=MIDDLE  ALT=\"%28a%28a%2B1%29%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Ba-12=0 ALIGN=MIDDLE  ALT=\"a%5E2%2Ba-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B4%29%28a-3%29=0 ALIGN=MIDDLE  ALT=\"%28a%2B4%29%28a-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Gives a=-4 or a=3, a must be positive so we exclude -4 from the answer set.<BR>\n" );
document.write( "So the numbers are 3, 3+1=4\r<BR>\n" );
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document.write( "Now, check:<BR>\n" );
document.write( "1/3 -1/4=4/12 -3/12=1/12.<BR>\n" );
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