document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007741>Question 1007741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The smaller number is 13 less than the larger number. Their sum is 111. Find the larger number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623608 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=623608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the larger number x and the smaller one y.  Then we have<BR>\n" );
document.write( "y = x - 13  and<BR>\n" );
document.write( "x + y = 111<BR>\n" );
document.write( "Rearrange the first one and get<BR>\n" );
document.write( "x - y = 13   and then add it to the other equation:<BR>\n" );
document.write( "x + y = 111<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "2x = 124<BR>\n" );
document.write( "x = 62<BR>\n" );
document.write( "y is the 62-13 = 49<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );