document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204176>Question 1204176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 14. The tens digit is the square of a number which is 2 less than the units digit. Find the two-digit number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840243 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=840243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 14. The tens digit is the square of a number which is 2 less than the units digit. Find the two-digit number.\r<BR>\n" );
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document.write( "Let the digits in tens place be x<BR>\n" );
document.write( "and the digit in units place be y\r<BR>\n" );
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document.write( "x+y=14............................................(1)\r<BR>\n" );
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document.write( "The tens digit is the square of a number which is 2 less than the units digit.\r<BR>\n" );
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document.write( "y= (x-2)^2.........................................(2)\r<BR>\n" );
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document.write( "substitute y in (1)\r<BR>\n" );
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document.write( "x+(x-2)^2= 14\r<BR>\n" );
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document.write( "x+x^2-4x+4=14\r<BR>\n" );
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document.write( "x^2-3x-10=0\r<BR>\n" );
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document.write( "factorize\r<BR>\n" );
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document.write( "x^2-5x+2x-10=0\r<BR>\n" );
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document.write( "x(x-5)+2(x-5)=0\r<BR>\n" );
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document.write( "(x-2)(x-5)=0\r<BR>\n" );
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document.write( "x=2 or x=5\r<BR>\n" );
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document.write( "x cannot be equal to 2\r<BR>\n" );
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document.write( "so x=5\r<BR>\n" );
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document.write( "y=9\r<BR>\n" );
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document.write( "The number = 59\r<BR>\n" );
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document.write( " </SPAN>\n" );
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