document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571495>Question 571495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One positive number is 5 times another number. The difference between the two numbers is 224, find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368574 by </B><A HREF=/tutors/aboutme.mpl?userid=mathsmiles><B>mathsmiles(68)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathsmiles><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=mathsmiles><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let X and Y be the two positive numbers.\r<BR>\n" );
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document.write( "X = 5Y.<BR>\n" );
document.write( "Since X is larger (they're both positive), we can set up the difference equation as follows:\r<BR>\n" );
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document.write( "X - Y = 224.\r<BR>\n" );
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document.write( "Now let's substitute for X from the first equation:<BR>\n" );
document.write( "(5Y) - Y = 224<BR>\n" );
document.write( "4Y = 224<BR>\n" );
document.write( "Divide both sides by 4 giving<BR>\n" );
document.write( "Y = 56<BR>\n" );
document.write( "X = 5 times 56 = 280\r<BR>\n" );
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document.write( "Checking our answer:<BR>\n" );
document.write( "280 - 224 = 56   Correct! </SPAN>\n" );
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