document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999024>Question 999024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consists of 2 digits whose sum is 11 . If the digits are interchanged the value of the number decreases by 45 . Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616774 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, you can play with all the combinations to find the answer...<BR>\n" );
document.write( "83 becomes 38 and decreases by 45...<BR>\n" );
document.write( "Otherwise cal the tens digit x and the ones digit y.<BR>\n" );
document.write( "x + y = 11<BR>\n" );
document.write( "(10x+y)-(10y+x) = 45<BR>\n" );
document.write( "9x - 9y = 45 or<BR>\n" );
document.write( "x - y = 5<BR>\n" );
document.write( "x + y = 11<BR>\n" );
document.write( "add the two equations and get<BR>\n" );
document.write( "2x = 16<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "y = 3<BR>\n" );
document.write( "83 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );