document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198730>Question 1198730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sixteen year old Amelia is four times older than her brother Theodore. How old will Amelia be when she's twice as old?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832386 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=832386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "As pointed out by some of the other tutors, the phrase \"four times older than\" should never be used in the statement of a math problem, because most people think it means something different than it really means.<br><BR>\n" );
document.write( "If one person's age is x and another person is four times older than the first, then the age of the second person is x, PLUS 4 times x -- i.e., x+4x = 5x.<br><BR>\n" );
document.write( "Unfortunately, in everyday usage, the phrase is used to mean that the age of the second person is 4x.  But that is grammatically incorrect.<br><BR>\n" );
document.write( "So in this problem the intended information is that Amelia is 4 times AS OLD AS her brother.<br><BR>\n" );
document.write( "Then, since Amelia is 16, Theodore's age is 16/4 = 4.  The difference in their ages is then 16-4 = 12 years.<br><BR>\n" );
document.write( "Since the difference in their ages will always be 12 years, when Amelia is twice as old as Theodore she will be 24 and he will be 12.<br><BR>\n" );
document.write( "ANSWER: 24<br><BR>\n" );
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