document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183571>Question 1183571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to answer- Currently Nicole's father is 46 years old and Nicole is 14 years old, How many does it take until Nicole's father age will be 3 times Nicole's age?\r<BR>\n" );
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document.write( "My attempt.  \r<BR>\n" );
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document.write( "14x3=42 but Nicole's father is already 46 soy hats younger </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813956 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here first is another presentation of the solution provided by the other tutor.<br><BR>\n" );
document.write( "Let y be the number of years from now that her father's age will be 3 times her age.<br><BR>\n" );
document.write( "Their current ages are 14 and 46; y years from now their ages will be 14+y and 46+y.<br><BR>\n" );
document.write( "We want to know when 46+y will be 3 times (14+y):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46%2By=3%2814%2By%29 ALIGN=MIDDLE  ALT=\"46%2By=3%2814%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46%2By=42%2B3y ALIGN=MIDDLE  ALT=\"46%2By=42%2B3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=2y ALIGN=MIDDLE  ALT=\"4=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: Her father's age will be 3 times her age in 2 years.<br><BR>\n" );
document.write( "CHECK: 14+2=16; 46+2=48; 48=3*16<br><BR>\n" );
document.write( "Here is a very different algebraic approach to solving the problem.<br><BR>\n" );
document.write( "The difference between their ages is 46-14=32 years.<br><BR>\n" );
document.write( "When the father is 3 times as old, their ages can be represented by x and 3x; the difference between their ages will be 3x-x=2x.<br><BR>\n" );
document.write( "But the difference between their ages is 32 years.  So 2x=32; x=16.<br><BR>\n" );
document.write( "The father will be 3 times as old as his daughter when their ages are x=16 and 3x=48.  Since their ages are currently 14 and 46, that will be 2 years from now.<br><BR>\n" );
document.write( "All the words of explanation make this sound like a longer and slower approach to solving the problem.  However, this method of solving the problem can be done mentally in far less time than writing and solving an equation.<br><BR>\n" );
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