document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001164>Question 1001164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 years ago a mother was 7 times as old as her daughter. 5 years hence she will be 3 times as old as her daughter. 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 #618496 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call mom's age now, m.<BR>\n" );
document.write( "Call the daughter's age now, d.<BR>\n" );
document.write( "Then, five years ago,<BR>\n" );
document.write( "m-5=7(d-5)=7d-35 or<BR>\n" );
document.write( "m = 7d - 30<BR>\n" );
document.write( "and five years hence,<BR>\n" );
document.write( "m+5=3(d+5)=3d+15 or<BR>\n" );
document.write( "m = 3d + 10<BR>\n" );
document.write( "We can set them equal, since the m's are the same...so<BR>\n" );
document.write( "7d - 30 = 3d + 10<BR>\n" );
document.write( "4d = 40<BR>\n" );
document.write( "d = 10<BR>\n" );
document.write( "m = 40 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );