document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967596>Question 967596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two quantities P and Q are in the ratio 2 : 3. If P is reduced by 1, the ratio is 1/2. Find the values of P and Q.<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 #591388 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=591388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two quantities P and Q are in the ratio 2 : 3. If P is reduced by 1, the ratio is 1/2. Find the values of P and Q.<BR>\n" );
document.write( "p/q=2/3 given <BR>\n" );
document.write( "3p=2q (1)<BR>\n" );
document.write( "p-1/q=1/2<BR>\n" );
document.write( "2p-2=q(2) by substitions  in (1_)<BR>\n" );
document.write( "3p=2(2p-2)<BR>\n" );
document.write( "3p=4p-4<BR>\n" );
document.write( "-p=-4  or p=4<BR>\n" );
document.write( "q=2p-2<BR>\n" );
document.write( "q=2x4-2=6\r<BR>\n" );
document.write( "\n" );
document.write( "p=4 and q=6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );