document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022792>Question 1022792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Can you help me with this problem? I don't quite understand how to do it...<BR>\n" );
document.write( "\"The tens digit of a two-digit number is two more than twice the units digit. The sum of the digits is 11. Use a system of equations and elimination to find the number.\"<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638389 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let T be the tens digit<BR>\n" );
document.write( "and W be the ones digit\r<BR>\n" );
document.write( "\n" );
document.write( "The number is of the form TW<BR>\n" );
document.write( "T > 2 + 2W , tens digit is two more than twice the units digit<BR>\n" );
document.write( "T + W = 11 , the sum of the digits is 11<BR>\n" );
document.write( "Solve T + W = 11 for T<BR>\n" );
document.write( "add -W to each side<BR>\n" );
document.write( "T = 11 - W<BR>\n" );
document.write( "Substitute ( 11 - W ) for T in T > 2 + 2W<BR>\n" );
document.write( "11 - W > 2 + 2w<BR>\n" );
document.write( "add W to each side<BR>\n" );
document.write( "11 > 2 + 3W<BR>\n" );
document.write( "add -2 to each side<BR>\n" );
document.write( "9 > 3W<BR>\n" );
document.write( "or 3W < 9<BR>\n" );
document.write( "divide each side by 3<BR>\n" );
document.write( "W < 3<BR>\n" );
document.write( "From this we know that W is 0, 1 or 2<BR>\n" );
document.write( "We also know that T = 11 - W<BR>\n" );
document.write( "If W is 0, T = 11, but this cannot be since T is a single digit<BR>\n" );
document.write( "If W is 1, T = 10, but this cannot be since T is a single digit<BR>\n" );
document.write( "This means that W has to be 2<BR>\n" );
document.write( "Since T = 11 - W , T = 9<BR>\n" );
document.write( "So TW is 92 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );