document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374291>Question 374291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two numbers is 4/15 and their product is 60. what are 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 #266368 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x & y<BR>\n" );
document.write( "...<BR>\n" );
document.write( "1/x +1/y = 4/15<BR>\n" );
document.write( "(x+y)/xy = 4/15<BR>\n" );
document.write( "15(x+y)=4xy<BR>\n" );
document.write( "15x+15y=4xy...................1<BR>\n" );
document.write( "...<BR>\n" );
document.write( "xy =60<BR>\n" );
document.write( "x= 60/y<BR>\n" );
document.write( "...<BR>\n" );
document.write( "15x+15y=4xy<BR>\n" );
document.write( "15*60/y +15y = 4*60<BR>\n" );
document.write( "(900+15y^2)/y = 240<BR>\n" );
document.write( "900+15y^2=240y<BR>\n" );
document.write( "15y^2-240y+900=0<BR>\n" );
document.write( "/15<BR>\n" );
document.write( "y^2-16y+60=0<BR>\n" );
document.write( "y^2-10y-6y+60=0<BR>\n" );
document.write( "y(y-10)-6(y-10)=0<BR>\n" );
document.write( "(y-10)(y-6)=0<BR>\n" );
document.write( "y = 6 OR 10<BR>\n" );
document.write( "the numbers are 6 & 10<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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