document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132132>Question 132132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dot and her cousin have a combined age of 24 years. 3 years ago Dot was exactly twice as old as her cousin. How old is Dot?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96507 by </B><A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><B>TakeATuition.com(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.takeatuition.com/images/logo.jpg valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SOLUTION -<BR>\n" );
document.write( " Let the present age of dot be x years<BR>\n" );
document.write( "  and the present age of cousin be y years<BR>\n" );
document.write( "  sum of their ages=24<BR>\n" );
document.write( "  x+y=24<BR>\n" );
document.write( "  x=24-y       .......(1)<BR>\n" );
document.write( " three years ago<BR>\n" );
document.write( " age of dot=(x-3)years<BR>\n" );
document.write( " age of cousine=(y-3)<BR>\n" );
document.write( " now according to the condition we have<BR>\n" );
document.write( " (x-3)=2(y-3)<BR>\n" );
document.write( " substituting the value of x from equation (i) we have<BR>\n" );
document.write( " 24-y-3=2y-6<BR>\n" );
document.write( " 21-y=2y-6<BR>\n" );
document.write( " 21-y-21=2y-6-21<BR>\n" );
document.write( " -y-2y=2y-15-2y<BR>\n" );
document.write( " -3y=-15<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y%2F-3 ALIGN=MIDDLE  ALT=\"-3y%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F-3 ALIGN=MIDDLE  ALT=\"-15%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " y=5<BR>\n" );
document.write( " substituting the value of y in equation (i) we have<BR>\n" );
document.write( " x=24-y<BR>\n" );
document.write( " x=24-5<BR>\n" );
document.write( " x=19<BR>\n" );
document.write( " dot present age=19 years<BR>\n" );
document.write( " cousin present age=5 years\r<BR>\n" );
document.write( "\n" );
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document.write( "</TD></TR></TABLE>\n" );