document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128326>Question 1128326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that a+b=c, a+c=d, and b=c+d, where d is a positive integer, what is the greatest value of a?<BR>\n" );
document.write( "A)-3 B)2 C)-2 D)1 E)-1 <BR>\n" );
document.write( " </SPAN>\n" );
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document.write( "Given:<BR>\n" );
document.write( "(1) a+b = c<BR>\n" );
document.write( "(2) a+c = d<BR>\n" );
document.write( "(3) b = c+d<BR>\n" );
document.write( "(4) d is a positive integer<br><BR>\n" );
document.write( "Substituting (3) into (1),<br><BR>\n" );
document.write( "a+c+d = c<BR>\n" );
document.write( "a+d = 0<BR>\n" );
document.write( "a = -d<br><BR>\n" );
document.write( "Since d is a positive integer, a is a negative integer.  The greatest value for a is when d has its minimum value of 1; then a is -1.<br><BR>\n" );
document.write( "ANSWER: E) -1 </SPAN>\n" );
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