document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161939>Question 161939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A year ago, a mother was eight times as old as her daughter. Now, her age is the square of her daughter's age. 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 #119331 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A year ago, a mother was eight times as old as her daughter. Now, her age is the square of her daughter's age. How old are they now?<BR>\n" );
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document.write( "M-1 = 8*(D-1)   One year ago<BR>\n" );
document.write( "M = D^2  Now<BR>\n" );
document.write( "Sub for M in 1st eqn<BR>\n" );
document.write( "D^2 - 1 = 8*(D-1)<BR>\n" );
document.write( "D^2 - 1 = 8D-8<BR>\n" );
document.write( "D^2 - 8D + 7 = 0<BR>\n" );
document.write( "(D-7)*(D-1) = 0<BR>\n" );
document.write( "D = 7, D = 1<BR>\n" );
document.write( "The D=1 solution isn't reasonable, as one year ago the Daughter would be zero.<BR>\n" );
document.write( "So the daughter is 7, and the mother is 49.<BR>\n" );
document.write( "One year ago, they were 6 and 48.<BR>\n" );
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