document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68552>Question 68552</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>algebra 1 </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> tyrone is twice as old as his daughter. in six years tyrone's age will be three times what his daughter's age was six years ago.how old are they at the present time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48758 by </B><A HREF=/tutors/aboutme.mpl?userid=rmromero><B>rmromero(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rmromero><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=48758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is asked in the problem?<BR>\n" );
document.write( "How old are they at the present time?<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "1. Tyrone is twice as old as his daughter.<BR>\n" );
document.write( "2. In six years, Tyrone's age will be three times what his daughter was six years ago.<BR>\n" );
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document.write( "Representation:<BR>\n" );
document.write( "Let d = Tyrone's daughter's present age<BR>\n" );
document.write( "    t = Tyrone's present age<BR>\n" );
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document.write( "Translate the given sentences to mathematical equation.<BR>\n" );
document.write( "Tyrone is twice as old as his daughter. ---> t = 2d<BR>\n" );
document.write( "In six years, Tyrone's age will be three times what his daughter was six years ago. ---> t + 6 = 3 (d - 6)<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Solve: <BR>\n" );
document.write( "t + 6 = 3 (d - 6)<BR>\n" );
document.write( "<br> Substitute 2d to t.<BR>\n" );
document.write( "2d + 6 = 3d - 18<BR>\n" );
document.write( "d = 24 ---> Tyrone's daughter's age<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "t + 6 = 3d - 18<BR>\n" );
document.write( "t + 6 = 3(24) - 18<BR>\n" );
document.write( "t = 72 - 18 - 6<BR>\n" );
document.write( "t = 48 ---> Tyrone's age\r<BR>\n" );
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document.write( "<br><br><BR>\n" );
document.write( "Checking :<BR>\n" );
document.write( "t = 2d , t = 48 and d = 24<BR>\n" );
document.write( "48 = 2(24)<BR>\n" );
document.write( "48 = 48 ---> True<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "t + 6 = 3d - 18<BR>\n" );
document.write( "48 + 6 = 3(24) - 18<BR>\n" );
document.write( "54 = 72 -18<BR>\n" );
document.write( "54 = 54 ---> True\r<BR>\n" );
document.write( "\n" );
document.write( "<br> Therefore Tyrone's present age is 48 and his daughter's present age is 24\r<BR>\n" );
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document.write( "\n" );
document.write( "    <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );