document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273266>Question 273266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from all the pairs of numbers whose sum is 256, find the pair whose product is greatest. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199649 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=199649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> from all the pairs of numbers whose sum is 256, find the pair whose product is greatest.\r<BR>\n" );
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document.write( "pair of numbers: a and b\r<BR>\n" );
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document.write( "a + b = 256\r<BR>\n" );
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document.write( "a * b greatest = ?\r<BR>\n" );
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document.write( "this will be when a and b are both greatest or a=128 and b=128,<BR>\n" );
document.write( "then a*b = 128 * 128 = 16384\r<BR>\n" );
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document.write( "this is similar to when you have a set perimeter for a rectangle, a square will always have the greatest area\r<BR>\n" );
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document.write( "following table is proof:<BR>\n" );
document.write( "a	b	a*b<BR>\n" );
document.write( "0	256	0<BR>\n" );
document.write( "1	255	255<BR>\n" );
document.write( "2	254	508<BR>\n" );
document.write( "...<BR>\n" );
document.write( "125	131	16375<BR>\n" );
document.write( "126	130	16380<BR>\n" );
document.write( "127	129	16383<BR>\n" );
document.write( "128	128	16384<BR>\n" );
document.write( "129	127	16383<BR>\n" );
document.write( "130	126	16380<BR>\n" );
document.write( "131	125	16375<BR>\n" );
document.write( "132	124	16368<BR>\n" );
document.write( "133	123	16359<BR>\n" );
document.write( "134	122	16348<BR>\n" );
document.write( "135	121	16335<BR>\n" );
document.write( "...<BR>\n" );
document.write( "254	2	508<BR>\n" );
document.write( "255	1	255<BR>\n" );
document.write( "256	0	0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );