document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=589678>Question 589678</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 there ages, the product of their ages is 675. Find the ages of 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 #374941 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sum of their ages is twice the difference:<BR>\n" );
document.write( "p + q = 2(q - p) -> p + q = 2q - 2p -> q = 3p<BR>\n" );
document.write( "Product of their ages is 675:<BR>\n" );
document.write( "p*q = 675<BR>\n" );
document.write( "Substitute the value for q above:<BR>\n" );
document.write( "p*3p = 675<BR>\n" );
document.write( "3p^2 = 675<BR>\n" );
document.write( "p = 15<BR>\n" );
document.write( "So the son is 15 and the mother is 45 yrs old </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );