document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285172>Question 285172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a 2 digit number. The difference between the product of me and myself and the sum of me and myself is 99. What number am i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206819 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=tens digit<BR>\n" );
document.write( "And let y=units digit<BR>\n" );
document.write( "The number then is 10x+y<BR>\n" );
document.write( "Product of me and myself=(10x+y)*(10x+y)<BR>\n" );
document.write( "The sum of me and myself=(10x+y)+(10x+y)=2(10x+y)<BR>\n" );
document.write( "So our equation to solve is:\r<BR>\n" );
document.write( "\n" );
document.write( "(10x+y)^2-2(10x+y)=99  subtract 99 from each side<BR>\n" );
document.write( "(10x+y)^2-2(10x+y)-99=0  quadratic in standard form and it can be factored<BR>\n" );
document.write( "{(10x+y)-11}{(10x+y)+9}=0<BR>\n" );
document.write( "10x+y=11---------------------answer<BR>\n" );
document.write( "10x+y=-9-----------------no good, not a 2 digit number<BR>\n" );
document.write( "So the 2 digit number is 11\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "11*11=121<BR>\n" );
document.write( "11+11-22<BR>\n" );
document.write( "121-22=99<BR>\n" );
document.write( "99=99<BR>\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );