document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349062>Question 349062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a two digit number such that the tens digit exceeds the unit digit by 3 and the number is 4 less than the sum of the squares of its digits. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249503 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=249503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let units digit be y<BR>\n" );
document.write( "ten's digit be x<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x=y+3<BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "10x+y= x^2+y^2-4<BR>\n" );
document.write( "x^2+y^2-y-10x-4 =0<BR>\n" );
document.write( "plug value of x<BR>\n" );
document.write( "(y+3)^2+y^2-y-10(y+3)-4=0<BR>\n" );
document.write( "y^2+6y+9+y^2-y-10y-30-4=0<BR>\n" );
document.write( "2y^2-5y-25=0<BR>\n" );
document.write( "2y^2-10y+5y-25=0<BR>\n" );
document.write( "2y(y-5)+5(y-5)=0<BR>\n" );
document.write( "(2y+5)(y-5)=0<BR>\n" );
document.write( "y=5<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "the number is 85 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );