document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800135>Question 800135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman is Q years old while her son is P years old. The sum of their ages is equal to twice the difference of their ages. The product of their ages is 675. Find the equation of their the age of the woman and her son </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482931 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=482931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q+P=2(Q-P)\r<BR>\n" );
document.write( "\n" );
document.write( "Q+P=2Q-2P\r<BR>\n" );
document.write( "\n" );
document.write( "Q-3P=0\r<BR>\n" );
document.write( "\n" );
document.write( "QP = 675<BR>\n" );
document.write( "Q=675/P\r<BR>\n" );
document.write( "\n" );
document.write( "---\r<BR>\n" );
document.write( "\n" );
document.write( "Q-3P=0\r<BR>\n" );
document.write( "\n" );
document.write( "675/p -3p=0\r<BR>\n" );
document.write( "\n" );
document.write( "675=-3p^2\r<BR>\n" );
document.write( "\n" );
document.write( "3p^2=675<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "p^2=225\r<BR>\n" );
document.write( "\n" );
document.write( "p= +/- 15\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore P= 15\r<BR>\n" );
document.write( "\n" );
document.write( "Now you can can complete \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );