document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=661573>Question 661573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> difference of two positive integer is 5 and their product is 204.find the integers<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 #411684 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=411684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y=5<BR>\n" );
document.write( "xy=204<BR>\n" );
document.write( "Substitution<BR>\n" );
document.write( "(5+y)y=204<BR>\n" );
document.write( "5y +y^2-204=0<BR>\n" );
document.write( "Rearrange<BR>\n" );
document.write( "y^2 + 5y - 204 = 0<BR>\n" );
document.write( "(y+  )(y-  ) mixed sign due to - 204<BR>\n" );
document.write( "Multiples of 204 that will subtract to equal 5:  12,17<BR>\n" );
document.write( "(y + 17 )(y - 12 )<BR>\n" );
document.write( "y+17=0, so y = -17 NO, must be positive integer<BR>\n" );
document.write( "y-12=0, so y = 12 Yes!<BR>\n" );
document.write( "x-12=5, so x=5+12=17<BR>\n" );
document.write( "Proof<BR>\n" );
document.write( "17-12 = 5<BR>\n" );
document.write( "17*12 = 204 </SPAN>\n" );
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