document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200412>Question 1200412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of ages of two sisters is 22years.six years ago,the product of their ages was 21years.find the age of the younger sister. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834542 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28p%2Br=22%2C%28p-6%29%28r-6%29=21%29 ALIGN=MIDDLE  ALT=\"system%28p%2Br=22%2C%28p-6%29%28r-6%29=21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Maybe easier to work in one variable.\r<BR>\n" );
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document.write( "ages p and 22-p.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-6%29%28%2822-p%29-6%29=21 ALIGN=MIDDLE  ALT=\"%28p-6%29%28%2822-p%29-6%29=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-6%29%28-p%2B16%29=21 ALIGN=MIDDLE  ALT=\"%28p-6%29%28-p%2B16%29=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-6%29%28p-16%29=-21 ALIGN=MIDDLE  ALT=\"%28p-6%29%28p-16%29=-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two factor differ by 10:    -3 and 7, or 3 and -7\r<BR>\n" );
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document.write( "The smaller and lesser factor is p-16.  It needs to be negative.<BR>\n" );
document.write( "p-16=-3?<BR>\n" );
document.write( "p=13?<BR>\n" );
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document.write( "p-16=-7?<BR>\n" );
document.write( "p=16-7?<BR>\n" );
document.write( "p=9?\r<BR>\n" );
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document.write( "Try p=13.<BR>\n" );
document.write( "22-13=9\r<BR>\n" );
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document.write( "Younger sister is 9. </SPAN>\n" );
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