document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217863>Question 217863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164173 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=164173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2(x+y)=xy<BR>\n" );
document.write( "x=8y<BR>\n" );
document.write( "2(8y+y)=8y*y<BR>\n" );
document.write( "2*9y=8y^2<BR>\n" );
document.write( "8y^2-18y=0<BR>\n" );
document.write( "2y(4y-9)=0<BR>\n" );
document.write( "4y-9=0<BR>\n" );
document.write( "4y=9<BR>\n" );
document.write( "y=9/4<BR>\n" );
document.write( "y=2.25 ans.<BR>\n" );
document.write( "x=8*2.25<BR>\n" );
document.write( "x=18 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "2*(18+2.25)=18*2.25<BR>\n" );
document.write( "2*20.25=40.5<BR>\n" );
document.write( "40.5=40.5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );