document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203234>Question 1203234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let x represent the smaller number and y the larger number. The sum of the two numbers is 200. If the larger number is 8 less than triple the smaller number, what are the two numbers?\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of two numbers is 200.    But I’m confused as to write if the larger number is 8 less than triple the<BR>\n" );
document.write( "X=200-y -> x=200-178.05             smaller #<BR>\n" );
document.write( "X=-y+200                                                                                <BR>\n" );
document.write( "Replace y with 178.05<BR>\n" );
document.write( "X=-178.05+200<BR>\n" );
document.write( "X=21.95<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838632 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = smaller number<BR>\n" );
document.write( "y = larger number\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x+y = 200 because the two numbers sum to 200\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\"The larger number is 8 less than triple the smaller\" means<BR>\n" );
document.write( "larger = 3*smaller - 8<BR>\n" );
document.write( "y = 3x - 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can plug this into the first equation to solve for x<BR>\n" );
document.write( "x+y = 200<BR>\n" );
document.write( "x+<font color=red>y</font> = 200<BR>\n" );
document.write( "x+<font color=red>3x-8</font> = 200<BR>\n" );
document.write( "4x-8 = 200<BR>\n" );
document.write( "4x = 200+8<BR>\n" );
document.write( "4x = 208<BR>\n" );
document.write( "x = 208/4<BR>\n" );
document.write( "x = 52\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then,<BR>\n" );
document.write( "y = 3x-8<BR>\n" );
document.write( "y = 3*52-8<BR>\n" );
document.write( "y = 156-8<BR>\n" );
document.write( "y = 148\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: The two numbers are <font color=red>52 and 148</font>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check: 52+148 = 200<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );