document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311694>Question 311694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two integers is 15 and their product is 54.What is the quotient, in<BR>\n" );
document.write( "simplest form, when the smaller integer is divided by the larger one? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222937 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=222937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=15<BR>\n" );
document.write( "xy=54<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=54/y\r<BR>\n" );
document.write( "\n" );
document.write( "54/y +y=15<BR>\n" );
document.write( "54+y^2 =15y<BR>\n" );
document.write( "y^2-15y+54=0<BR>\n" );
document.write( "y^2-9x-6x+54=0<BR>\n" );
document.write( "y(y-9)-6(y-9)=0<BR>\n" );
document.write( "(y-6)(y-9)=0<BR>\n" );
document.write( "y=6 or 9\r<BR>\n" );
document.write( "\n" );
document.write( "the numbers are 6 & 9\r<BR>\n" );
document.write( "\n" );
document.write( "6/9 = 2/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );