document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327320>Question 327320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference between two numbers is 12. five times the larger number is nine times the smaller. what are 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 #234456 by </B><A HREF=/tutors/aboutme.mpl?userid=AAfter+Search><B>AAfter Search(61)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AAfter+Search><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=234456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numbers be p and q.<BR>\n" );
document.write( "Given, p - q = 12 .... (i)<BR>\n" );
document.write( "5 x p = 9 x q<BR>\n" );
document.write( "=> p = 9q/5<BR>\n" );
document.write( "Therefore, from equation (i)<BR>\n" );
document.write( "9q/5 - q = 12<BR>\n" );
document.write( "=> 4q/5 = 12<BR>\n" );
document.write( "=> q = (12 x 5)/4 = 15<BR>\n" );
document.write( "Hence, p = 12 + 15 = 27<BR>\n" );
document.write( "Hence, the two numbers are 27 and 15.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Check: 27 - 15 = 12<BR>\n" );
document.write( "5 x 27 = 135<BR>\n" );
document.write( "9 x 15 = 135 </SPAN>\n" );
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