document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019965>Question 1019965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To keep the product of two numbers same if one number is increased by 40% then by what percent the other number is diminished </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635904 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x and y be the two original numbers.  <BR>\n" );
document.write( "let x be increased by 40%.<BR>\n" );
document.write( "Let r be the percentage by which y should be decreased.\r<BR>\n" );
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document.write( "Then we want \r<BR>\n" );
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document.write( "xy = (1.4x)*(1-r)y<BR>\n" );
document.write( "<==> 1 = 1.4(1-r)<BR>\n" );
document.write( "==> 1 = 1.4 - 1.4r<BR>\n" );
document.write( "==> 1.4r = 0.4<BR>\n" );
document.write( "==> r = 2/7, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%264%2F7 ALIGN=MIDDLE  ALT=\"28%264%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >% </SPAN>\n" );
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