document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158138>Question 1158138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of the present ages of a mother and her daughter is 432. Four years ago the mother was exactly four times as old as the daughter .what are their present ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781046 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The product of the present ages of a mother and her daughter is 432. \r<BR>\n" );
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document.write( "let age of a mother be x years<BR>\n" );
document.write( " and that of her daughter be y years<BR>\n" );
document.write( "x*y =432<BR>\n" );
document.write( "x=432/y\r<BR>\n" );
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document.write( "Four years ago the mother was x-4 years \r<BR>\n" );
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document.write( "daughter was y-4 years .\r<BR>\n" );
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document.write( "Mother was exactly four times as old as the daughter \r<BR>\n" );
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document.write( "(x-4) =4(y-4)\r<BR>\n" );
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document.write( "substitute x\r<BR>\n" );
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document.write( "(432/y -4) = 4y-16\r<BR>\n" );
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document.write( "(432-4y)/y = 4y-16\r<BR>\n" );
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document.write( "432-4y = 4y^2-16y\r<BR>\n" );
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document.write( "Rearrange <BR>\n" );
document.write( "4y^2-12y-432=0\r<BR>\n" );
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document.write( "Solve\r<BR>\n" );
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document.write( "4(y+9)(y-12)=0\r<BR>\n" );
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document.write( "y=-9 OR 12\r<BR>\n" );
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document.write( "Age cannot be negative <BR>\n" );
document.write( "so daughter is 12 years\r<BR>\n" );
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document.write( "432/12 is mother's age\r<BR>\n" );
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document.write( "what are their present ages? </SPAN>\n" );
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