document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001818>Question 1001818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive number if the sum of their reciprocal is 7/12<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618941 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=618941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n and n+1 are the numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn%2B1%2F%28n%2B1%29=7%2F12 ALIGN=MIDDLE  ALT=\"1%2Fn%2B1%2F%28n%2B1%29=7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "n and n+1 are the numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn%2B1%2F%28n%2B1%29=7%2F12 ALIGN=MIDDLE  ALT=\"1%2Fn%2B1%2F%28n%2B1%29=7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "LCD is 12n(n+1), so multiply both sides by LCD.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28n%2B1%29%2B12n=7n%28n%2B1%29 ALIGN=MIDDLE  ALT=\"12%28n%2B1%29%2B12n=7n%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12n%2B12%2B12n=7n%262%2B7n ALIGN=MIDDLE  ALT=\"12n%2B12%2B12n=7n%262%2B7n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24n%2B12=7n%5E2%2B7n ALIGN=MIDDLE  ALT=\"24n%2B12=7n%5E2%2B7n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7n%5E2-17n-12=0 ALIGN=MIDDLE  ALT=\"7n%5E2-17n-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%2817%2B-+sqrt%2817%5E2%2B4%2A7%2A12%29%29%2F14 ALIGN=MIDDLE  ALT=\"n=%2817%2B-+sqrt%2817%5E2%2B4%2A7%2A12%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%2817%2B-+sqrt%28625%29%29%2F14 ALIGN=MIDDLE  ALT=\"n=%2817%2B-+sqrt%28625%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight%28n=%2817%2B-+25%29%2F14%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight%28n=%2817%2B-+25%29%2F14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-8%2F14 ALIGN=MIDDLE  ALT=\"n=-8%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Obviously the acceptable value must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=3%29 ALIGN=MIDDLE  ALT=\"highlight%28n=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the first consecutive number, IF the numbers must be integers..\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The numbers are 3 and 4<BR>\n" );
document.write( "(For integer results) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );