document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348013>Question 348013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two positive numbers so that twice their sum equals their product and one number is 6 times the other number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248830 by </B><A HREF=/tutors/aboutme.mpl?userid=ovie27><B>ovie27(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ovie27><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=248830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "1st number = x<BR>\n" );
document.write( "2nd number = y\r<BR>\n" );
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document.write( "2(x+y)=xy\r<BR>\n" );
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document.write( "x=6y\r<BR>\n" );
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document.write( "plug in the x into the above equation:\r<BR>\n" );
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document.write( "2(6y+y)=6y(y)<BR>\n" );
document.write( "12y+2y = 6(y^2)<BR>\n" );
document.write( "14y=6(y^2)<BR>\n" );
document.write( "divide both sides by y:\r<BR>\n" );
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document.write( "14=6y\r<BR>\n" );
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document.write( "so, y = 14/6 which is 7/3.\r<BR>\n" );
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document.write( "Now, we can find x:\r<BR>\n" );
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document.write( "x = 6(7/3) which is 42/3 which is 14. \r<BR>\n" );
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document.write( "So, the two positive numbers are 7/3 and 14.  </SPAN>\n" );
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