document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137386>Question 1137386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Amber's age is fourteen less than three times her age six years ago, she will be sixteen years older than her current age. How old is Amber? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853824 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "If Amber's age is fourteen less than three times her age six years ago, <BR>\n" );
document.write( "she will be sixteen years older than her current age. How old is Amber?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;How the problem is formulated/worded/presented in the post, is a blatant nonsense,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;contradicting to human logic.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @mananth makes this nonsense in degree 2.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by Artificial Intelligence (Google overview of Feb.09, 2026) repeats this nonsense.\r<BR>\n" );
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document.write( "https://www.google.com/search?q=If+Amber%27s+age+is+fourteen+less+than+three+times+her+age+six+years+ago%2C+she+will+be+sixteen+years+older+than+her+current+age.+How+old+is+Amber%3F&rlz=1C1CHBF_enUS1071US1071&oq=If+Amber%27s+age+is+fourteen+less+than+three+times+her+age+six+years+ago%2C+she+will+be+sixteen+years+older+than+her+current+age.+How+old+is+Amber%3F&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIHCAEQIRiPAjIHCAIQIRiPAtIBCDEwMTNqMGo3qAIIsAIB8QX2P9qU19kUUvEF9j_alNfZFFI&sourceid=chrome&ie=UTF-8\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One condition is just enough to solve the problem completely, and the second condition\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is illogical and is not consistent with the first condition.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, the reasonable modification to the problem is THIS:\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;If Amber's age is fourteen less than three times her age six years ago, how old is Amber?\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below is my solution for this modified version.\r<BR>\n" );
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document.write( "Let 'x' be the Amber's age now.\r\n" );
document.write( "Then the problem leads to this equation\r\n" );
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document.write( "    3*(x-6) - 14 = x.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    3x - 18 - 14 = x,\r\n" );
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document.write( "    3x - 32 = x,\r\n" );
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document.write( "    3x - x = 32,\r\n" );
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document.write( "      2x   = 32,\r\n" );
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document.write( "       x   = 32/2 = 16.\r\n" );
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document.write( "<U>ANSWER</U>.  Amber is 16 years old now.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Again, the original formulation of the problem is nonsense.\r<BR>\n" );
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document.write( "The solution by @mananth is nonsense in degree 2.\r<BR>\n" );
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document.write( "The referred solution by the AI is nonsense, too, repeating the nonsense by @mananth.\r<BR>\n" );
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document.write( "A reasonable modification and a solution are presented in my post above.\r<BR>\n" );
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document.write( "Always remember that @mananth is not a person. It is a computer code,<BR>\n" );
document.write( "which may work correctly or incorrectly, but, in distinction of a normal human,<BR>\n" );
document.write( "this code does not know in which mode he currently works - in the right mode or in the wrong mode.<BR>\n" );
document.write( "This understanding is outside of the range of its abilities.\r<BR>\n" );
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document.write( "<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I N T E R E S T I N G</H3>\r<BR>\n" );
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document.write( "Today, on Feb.09, 2026, I posted this original formulation to other AI site, math-chat.org.\r<BR>\n" );
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document.write( "It was smart enough to recognize that the original formulation is/was defective, <BR>\n" );
document.write( "and was smart enough to create a reasonable version, exactly as mine. <BR>\n" );
document.write( "It also solved completely for this modified formulation, so it acted as a reasonable human and a qualified solver.\r<BR>\n" );
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document.write( "Thus I conclude that AI Google Overview is just outdated version of AI.<BR>\n" );
document.write( "Why then they keep its outcome in the first position of the Google search output? - It is just out of logic.\r<BR>\n" );
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document.write( "All this information was posted to the Google Overview via their feedback system<BR>\n" );
document.write( "with the reference to this web-page.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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