document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131374>Question 131374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 18.  5 times the larger number is 2 times the smaller number. 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 #95907 by </B><A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><B>TakeATuition.com(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.takeatuition.com/images/logo.jpg valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SOLUTION -<BR>\n" );
document.write( "  Let the larger number be x<BR>\n" );
document.write( "      and smaller number be y<BR>\n" );
document.write( " therefore according to the first condition that is,\"the difference between two numbers is 18\" we have<BR>\n" );
document.write( "         <BR>\n" );
document.write( "               x - y = 18        <BR>\n" );
document.write( "               x = 18 + y      .............. (i)\r<BR>\n" );
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document.write( "   now according to the second condition we have five times the greater is equal to 2 times the smaller, we have\r<BR>\n" );
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document.write( "           5x = 2y<BR>\n" );
document.write( "           5x = 2y\r<BR>\n" );
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document.write( "    substituting the value of x from equation (i)we have<BR>\n" );
document.write( "       5(18 + y) = 2y<BR>\n" );
document.write( "       90 + 5y = 2y<BR>\n" );
document.write( "           5y - 2y = -90<BR>\n" );
document.write( "              3y = - 90<BR>\n" );
document.write( "               y = -90/3<BR>\n" );
document.write( "              y = - 30  \r<BR>\n" );
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document.write( "now substituting the value of y in equation (i) we have<BR>\n" );
document.write( "         x = 18 + (-30)<BR>\n" );
document.write( "         x = 18 - 30<BR>\n" );
document.write( "         x = -12<BR>\n" );
document.write( "  <BR>\n" );
document.write( " therefore<BR>\n" );
document.write( "       larger number is x = -12<BR>\n" );
document.write( "   and smaller number is y = -30\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );