document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261928>Question 261928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age that Katie is now. How old is each now? Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193033 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=193033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age that Katie is now. How old is each now? Thanks so much!\r<BR>\n" );
document.write( "\n" );
document.write( "Let K be Katie's current age and A be Anne's current age.\r<BR>\n" );
document.write( "\n" );
document.write( "Then from the first statement we know:\r<BR>\n" );
document.write( "\n" );
document.write( "1.) K-4 = 2*(A-4)\r<BR>\n" );
document.write( "\n" );
document.write( "From the second statement we know:\r<BR>\n" );
document.write( "\n" );
document.write( "2.) A+6 = K\r<BR>\n" );
document.write( "\n" );
document.write( "Based on equation 2.) substitute A+6 for K in equation 1.):\r<BR>\n" );
document.write( "\n" );
document.write( "(A+6) - 4 = 2*(A-4) or<BR>\n" );
document.write( "A+2 = 2A-8\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the above for A and then calculate K from 2.) as K = A+6\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );