document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683983>Question 683983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a boys age and his fathers age amount together to 24 years. fourth part of the product of their ages exceeds the boys age by 9 years.find how old they are. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423847 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=423847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> boy's age =x<BR>\n" );
document.write( "father's age = y\r<BR>\n" );
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document.write( "x+y=24\r<BR>\n" );
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document.write( "(xy)/4 -x=9<BR>\n" );
document.write( "multiply equation by 4<BR>\n" );
document.write( "xy-4x=36<BR>\n" );
document.write( "x(y-4)=36<BR>\n" );
document.write( "x=36/(y-4)\r<BR>\n" );
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document.write( "Now x+y = 24<BR>\n" );
document.write( "substitute x in the equation\r<BR>\n" );
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document.write( "36/(y-4) +y = 24\r<BR>\n" );
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document.write( "multiply equation by (y-4)<BR>\n" );
document.write( "36+y(y-4)=24(y-4)\r<BR>\n" );
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document.write( "36+y^2-4y=24y-96\r<BR>\n" );
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document.write( "y^2-4y-24y+36+96=0\r<BR>\n" );
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document.write( "y^2-28y+132=0\r<BR>\n" );
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document.write( "y^2-22y-6y+132=0\r<BR>\n" );
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document.write( "y(y-22)-6(y-22)=0<BR>\n" );
document.write( "(y-22)(y-6)=0\r<BR>\n" );
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document.write( "y=22 OR 6\r<BR>\n" );
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document.write( "Father's age = 22\r<BR>\n" );
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document.write( "Son's age = 2  (because x+y=24) </SPAN>\n" );
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