document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769604>Question 769604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John is 3 years younger than James. In 3 years, the product of John's age and James' age will be equal to 270. What are their current ages?\r<BR>\n" );
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document.write( "Set up 2 polynomial equations. John's current age, x and James' current age, y.\r<BR>\n" );
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document.write( "Solve problem symbolically. Show all steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468941 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=468941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> john age x<BR>\n" );
document.write( "james age =y\r<BR>\n" );
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document.write( "y-x=3......................(1)\r<BR>\n" );
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document.write( "y=x+3\r<BR>\n" );
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document.write( "(x+3)(y+3)=270..............(2)\r<BR>\n" );
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document.write( "xy+3x+3y+9=270\r<BR>\n" );
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document.write( "substitute y<BR>\n" );
document.write( "x(x+3)+3x+3(x+3)+9=270\r<BR>\n" );
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document.write( "x^2+3x+3x+3x+9+9=270<BR>\n" );
document.write( "x^2+9x+18=270\r<BR>\n" );
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document.write( "x^2+9x-252=0\r<BR>\n" );
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document.write( "x^2+21x-12x-252=0<BR>\n" );
document.write( "x(x+21)-12(x+21)=0\r<BR>\n" );
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document.write( "(x+21)(x-12)=0\r<BR>\n" );
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document.write( "x= -21 OR 12\r<BR>\n" );
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document.write( "age cannot be negative so x=12\r<BR>\n" );
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document.write( "The ages are 12 & 15 </SPAN>\n" );
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