document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102311>Question 102311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 36. The difference between the larger number and 8 equals the total of 4 and 3 times the smaller number. Find the 2 numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74367 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets call the larger number x<BR>\n" );
document.write( "and the smaller number y<BR>\n" );
document.write( "So first we are told that:<BR>\n" );
document.write( "The sum of two numbers is 36<BR>\n" );
document.write( "using our variables write an equation to support this statement.<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "Ok next we are told that:<BR>\n" );
document.write( "The difference between the larger number and 8 equals the total of 4 and 3 times the smaller number.<BR>\n" );
document.write( "write an equation to support this statement<BR>\n" );
document.write( "x - 8 = 4 + 3y<BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "x - 3y = 12<BR>\n" );
document.write( "ok now we have a system of equations <BR>\n" );
document.write( "x + y = 36 <BR>\n" );
document.write( "and<BR>\n" );
document.write( "x - 3y = 12<BR>\n" );
document.write( "Lets set the first equation equal to x<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "x = 36 - y <BR>\n" );
document.write( "Ok so if x equals 36-y we can substitute that into the second equation<BR>\n" );
document.write( "x - 3y = 12<BR>\n" );
document.write( "36 - y - 3y = 12<BR>\n" );
document.write( "36 - 4y = 12<BR>\n" );
document.write( "-4y = -24<BR>\n" );
document.write( "y = 6<BR>\n" );
document.write( "<b>Answer: The smaller number is 6</b><BR>\n" );
document.write( "now we can use this to find the larger number<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "x + 6 = 36<BR>\n" );
document.write( "x  = 30<BR>\n" );
document.write( "<b>Answer: The larger number is 30</b><BR>\n" );
document.write( "Check both answers in both equations<BR>\n" );
document.write( "x + y = 36<BR>\n" );
document.write( "30 + 6 = 36<BR>\n" );
document.write( "36 = 36<BR>\n" );
document.write( "that works now try the other equation<BR>\n" );
document.write( "x - 3y = 12<BR>\n" );
document.write( "30 - 3(6) = 12<BR>\n" );
document.write( "30 - 18 = 12<BR>\n" );
document.write( "12 = 12<BR>\n" );
document.write( "That works too.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );