document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283256>Question 283256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mother is twice as old as her daughter now, but 10 years ago, she was 3 times as<BR>\n" );
document.write( "old as her daughter. Find their ages at present. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854194 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</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=854194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A mother is twice as old as her daughter now, but 10 years ago, she was 3 times as<BR>\n" );
document.write( "old as her daughter. Find their ages at present.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the post by @mananth, the setup equation is written incorrectly.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His manipulations that follow this incorrect equation, also have many errors,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;although the final answer is correct.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His solution can not be considered as an etalon, so I came to bring a correct solution.\r<BR>\n" );
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document.write( "Let the daughter's age be x<BR>\n" );
document.write( "mother's age will be 2x<BR>\n" );
document.write( "Ten years ago<BR>\n" );
document.write( "daughter's age x-10<BR>\n" );
document.write( "Mother's age 2x-10\r<BR>\n" );
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document.write( "3(x-10) = 2x-10   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---===  This is a &nbsp;CORRECT &nbsp;setup equation\r<BR>\n" );
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document.write( "Simplify and find 'x'\r<BR>\n" );
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document.write( "3x-30 = 2x-10<BR>\n" );
document.write( "3x-2x = 30-10<BR>\n" );
document.write( "x = 20 Daughter's age now<BR>\n" );
document.write( "Mother's age is 2x = 2*20 = 40 years\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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