document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858616>Question 858616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the product of two numbers is 162. if their sum is 27, what is their ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517294 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=517294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x & y\r<BR>\n" );
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document.write( "xy = 162<BR>\n" );
document.write( "x=162/y\r<BR>\n" );
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document.write( "x+y=27\r<BR>\n" );
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document.write( "162/y + y=27\r<BR>\n" );
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document.write( "multiply equation by y\r<BR>\n" );
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document.write( "162 +y^2=27y\r<BR>\n" );
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document.write( "y^2-27y+162=0\r<BR>\n" );
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document.write( "y^2-18y-9y+162=0\r<BR>\n" );
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document.write( "y(y-18)-9(y-18)=0\r<BR>\n" );
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document.write( "(y-18)(y-9)=0\r<BR>\n" );
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document.write( "y= 18 OR 9\r<BR>\n" );
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document.write( "xy =162\r<BR>\n" );
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document.write( "when y = 18 x= 9\r<BR>\n" );
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document.write( "so x/y = 9/18 = 1/2\r<BR>\n" );
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document.write( "when y =9\r<BR>\n" );
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document.write( "x/y = 18/9 = 2/1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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