document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324261>Question 324261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 number is twice another number, if the sum of their reciprocal is 1/4 find the 2 numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232099 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1 number is twice another number, if the sum of their reciprocal is 1/4 find the 2 numbers\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let the smaller number be S\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the larger number is 2S, since one number is twice the other\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Reciprocal of the smaller number, or S is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FS ALIGN=MIDDLE  ALT=\"1%2FS\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the reciprocal of the larger number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282S%29 ALIGN=MIDDLE  ALT=\"1%2F%282S%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since the reciprocals sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we'll have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FS+%2B+1%2F%282S%29+=+1%2F4 ALIGN=MIDDLE  ALT=\"1%2FS+%2B+1%2F%282S%29+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiplying by LCD, 4S, we have: 4 + 2 = S. So S, or the smaller number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286%29 ALIGN=MIDDLE  ALT=\"highlight_green%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the larger number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2812%29 ALIGN=MIDDLE  ALT=\"highlight_green%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (6*2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----------<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "-----------\r<BR>\n" );
document.write( "\n" );
document.write( "Smaller #: 6     ;   Larger #: 12\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%2F6+%2B+1%2F12+=+1%2F4 ALIGN=MIDDLE  ALT=\"1%2F6+%2B+1%2F12+=+1%2F4\"   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=2%2F12+%2B+1%2F12+=+1%2F4 ALIGN=MIDDLE  ALT=\"2%2F12+%2B+1%2F12+=+1%2F4\"   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=3%2F12+=+1%2F4 ALIGN=MIDDLE  ALT=\"3%2F12+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (TRUE)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );