document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606473>Question 606473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Number Sense:  \"The sum of two numbers is eleven. The sum of the squares of the same two numbers is sixty-one. Find the two numbers\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382091 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=382091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x & y\r<BR>\n" );
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document.write( "x+y = 11<BR>\n" );
document.write( "x^2+y^2= 61\r<BR>\n" );
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document.write( "x=11-y\r<BR>\n" );
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document.write( "x^2=(11-y)^2\r<BR>\n" );
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document.write( "substitute x \r<BR>\n" );
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document.write( "(11-y)^2+y^2= 61\r<BR>\n" );
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document.write( "121-22y+y^2+y^2=61<BR>\n" );
document.write( "2y^2-22y+121=61<BR>\n" );
document.write( "2y^2-22y+60=0<BR>\n" );
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document.write( "x^2-11y+30=0\r<BR>\n" );
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document.write( "x^2-6y-5y+30=0\r<BR>\n" );
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document.write( "x(x-6)-5(x-6)=0<BR>\n" );
document.write( "(x-6)(x-5)=0<BR>\n" );
document.write( "x= 5 OR 6\r<BR>\n" );
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document.write( "so y= 6 OR 5\r<BR>\n" );
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document.write( "(5,6) OR (6,5)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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