document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999050>Question 999050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four numbers, taken two at a time, give the sums 84, 88, 100, 100, 112 and 116. What are the four numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616727 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A, B, C, and D are the four numbers<BR>\n" );
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document.write( "GIVEN:<BR>\n" );
document.write( "A+B=84<BR>\n" );
document.write( "A+C=88<BR>\n" );
document.write( "A+D=100<BR>\n" );
document.write( "B+C=100<BR>\n" );
document.write( "B+D=112<BR>\n" );
document.write( "C+D=116<BR>\n" );
document.write( ".<BR>\n" );
document.write( "SOLVE:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+B=84<BR>\n" );
document.write( "A=84-B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+C=100<BR>\n" );
document.write( "C=100-B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+D=112<BR>\n" );
document.write( "D=112-B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+C=88<BR>\n" );
document.write( "(84-B)+(100-B)=88<BR>\n" );
document.write( "-2B=-96<BR>\n" );
document.write( "B=48<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+B=84<BR>\n" );
document.write( "A+48=84<BR>\n" );
document.write( "A=36<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+C=100<BR>\n" );
document.write( "48+C=100<BR>\n" );
document.write( "C=52<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+D=112<BR>\n" );
document.write( "48+D=112<BR>\n" );
document.write( "D=64<BR>\n" );
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document.write( "ANSWER:<BR>\n" );
document.write( "A=36<BR>\n" );
document.write( "B=48<BR>\n" );
document.write( "C=52<BR>\n" );
document.write( "D=64<BR>\n" );
document.write( ".<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "A+B=84<BR>\n" );
document.write( "36+48=84<BR>\n" );
document.write( "84=84<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+C=88<BR>\n" );
document.write( "36+52=88<BR>\n" );
document.write( "88=88<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+D=100<BR>\n" );
document.write( "36+64=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+C=100<BR>\n" );
document.write( "48+52=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B+D=112<BR>\n" );
document.write( "48+64=112<BR>\n" );
document.write( "112=112<BR>\n" );
document.write( ".<BR>\n" );
document.write( "C+D=116<BR>\n" );
document.write( "52+64=116<BR>\n" );
document.write( "116=116<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );