document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889984>Question 889984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538607 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=538607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "a = k + 6<BR>\n" );
document.write( "(a+6)(k-3) = 324<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Substitute for \"a\" and solve for \"k\"::<BR>\n" );
document.write( "(k+12)(k-3) = 324<BR>\n" );
document.write( "k^2 + 9k - 360 = 0<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "k= 15 (Karen's age now)<BR>\n" );
document.write( "a = k+6 = 21 (Allan's age now)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );