document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074769>Question 1074769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The larger of two numbers is 8 more than the smaller number.<BR>\n" );
document.write( "when the smaller number is multiplied by 2, the result is the same as when the larger number is increased by 4.<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 #689661 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the larger of 2 numbers is 8 more than the smaller number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let x = the larger number.<BR>\n" );
document.write( "let y = the smaller number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = y + 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when the smaller number is multiplied by 2, the result is the same as when the larger number is increased by 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 * y = x + 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = y + 8<BR>\n" );
document.write( "2 * y = x + 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "replace x in the second equation with its equivalent value of y + 8 from the first equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 * y = (y + 8) + 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 * y = y + 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract y from both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since x = y + 8, then x = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 * y = 2 * 12 = 24<BR>\n" );
document.write( "x + 4 = 20 + 4 = 24\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution looks good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x is equal to 20 and y is equal to 12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the larger number is 8 more than the smaller number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 times the smaller number is equal to the larger number + 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );