document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125965>Question 125965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ms K is 6 years more than 3 times as old as her daughter. 8 years ago she was 2 years less than 9 times as old as her daughter was then. What are thier ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92313 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let k = K's age now; let d = daughter's age now<BR>\n" );
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document.write( "Just write an equation for what it says:<BR>\n" );
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document.write( "\"Ms K is 6 years more than 3 times as old as her daughter.\"<BR>\n" );
document.write( "   k = 3d + 6<BR>\n" );
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document.write( "8 years ago they would have been<BR>\n" );
document.write( "(k-8) and (d-8)<BR>\n" );
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document.write( "\"8 years ago she was 2 years less than 9 times as old as her daughter was then.\"<BR>\n" );
document.write( "(k-8) = 9(d-8) - 2<BR>\n" );
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document.write( "k - 8 = 9d - 72 - 2<BR>\n" );
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document.write( "k = 9d - 74 + 8<BR>\n" );
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document.write( "k = 9d - 66<BR>\n" );
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document.write( " What are their ages?<BR>\n" );
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document.write( "Substitute (3d+6) for k in the above equation, find d<BR>\n" );
document.write( "(3d+6) = 9d - 66<BR>\n" );
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document.write( "3d - 9d = -66 - 6<BR>\n" );
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document.write( "-6d = -72<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-72%29%2F%28-6%29 ALIGN=MIDDLE  ALT=\"%28-72%29%2F%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = +12 yrs is the daughter's age now<BR>\n" );
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document.write( "Mama would be: 36 + 6 = 42 yrs old now<BR>\n" );
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document.write( "Check our solutions in the statement:<BR>\n" );
document.write( "8 years ago she was 2 years less than 9 times as old as her daughter was then.<BR>\n" );
document.write( "(42-8) = 9(12-8) - 2<BR>\n" );
document.write( "  34 = 9(4) - 2; confirms out solutions<BR>\n" );
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document.write( "Could you follow this OK? Any questions?  </SPAN>\n" );
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