document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131176>Question 1131176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elizabeth is twice as old as cathrine. If seven years ago the sum of their ages was 82, how old are they now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747779 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=747779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let E = Elizabeth's age, C = Cathrine's age<BR>\n" );
document.write( "Elizabeth is twice as old as Cathrine:<BR>\n" );
document.write( "E = 2C<BR>\n" );
document.write( "Seven years ago their ages were E - 7 and C - 7 and their sum was 82:<BR>\n" );
document.write( "E - 7 + C - 7 = 82<BR>\n" );
document.write( "Substitute for E from the 1st equation:<BR>\n" );
document.write( "2C - 7 + C - 7 = 82<BR>\n" );
document.write( "3C = 96<BR>\n" );
document.write( "C = 32<BR>\n" );
document.write( "Thus Cathrine is 32 and Elizabeth is 64 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );