document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101187>Question 1101187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a? </SPAN>\n" );
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document.write( "given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a? <BR>\n" );
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document.write( "(1)  a+b = c<BR>\n" );
document.write( "(2) a+b = d<BR>\n" );
document.write( "Without going further, you should immediately see that these two equations tell you c=d.  <BR>\n" );
document.write( "—<BR>\n" );
document.write( "(3) b=c+d (which means  b=2c=2d)\r<BR>\n" );
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document.write( "Plugging in \"2c\" for \"b\" in eq(1):<BR>\n" );
document.write( "a + 2c  = c   —> a = -c (= -d)<BR>\n" );
document.write( "—<BR>\n" );
document.write( "Ans:  <b> a = -c  (= -d) </b><BR>\n" );
document.write( "— </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );