document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154010>Question 1154010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The larger of two numbers is 1 more than 3 times the smaller. If the smaller is subtracted from the larger, the result is 13. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776370 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Make x = larger number<BR>\n" );
document.write( "Make y = smaller number<BR>\n" );
document.write( "x + 1 = 3y............Eq(1)<BR>\n" );
document.write( "x - y = 13............Eq(2)<BR>\n" );
document.write( "Rearranging Eq(1)<BR>\n" );
document.write( "x + 1 = 3y<BR>\n" );
document.write( "x = 3y - 1<BR>\n" );
document.write( "Substitute back into Eq(2)<BR>\n" );
document.write( "x - y = 13<BR>\n" );
document.write( "3y - 1 - y = 13<BR>\n" );
document.write( "Collect like terms<BR>\n" );
document.write( "2y - 1 = 13<BR>\n" );
document.write( "2y = 14<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "Substitute y = 7 into Eq(2)<BR>\n" );
document.write( "x - y = 13<BR>\n" );
document.write( "x - 7 = 13<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "Larger number = 20<BR>\n" );
document.write( "Smaller number = 7<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );