document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557050>Question 557050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 100. The second number is 2 more than three times the first number, and the third number is the sum of the first two numbers. what are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362404 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=362404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the three numbers be: a, b, and c.<BR>\n" );
document.write( "b = 3a+2 \"The second number is 2 more than 3 times the first number.\"<BR>\n" );
document.write( "c = a+b \"The third number is the sum of the first two numbers.\"<BR>\n" );
document.write( "a+b+c = 100 \"The sum of three numbers is 100.\" Substitute b = 3a+2.<BR>\n" );
document.write( "a+(3a+2)+c = 100 Substitute c = a+b and b = 3a+2.<BR>\n" );
document.write( "a+(3a+2)+a+3a+2 = 100 Simplify.<BR>\n" );
document.write( "8a+4 = 100 Subtract 4 from both sides.<BR>\n" );
document.write( "8a = 96 Divide both sides by 8.<BR>\n" );
document.write( "a = 12<BR>\n" );
document.write( "b = 3(12)+2<BR>\n" );
document.write( "b = 38<BR>\n" );
document.write( "c = 12+38<BR>\n" );
document.write( "c = 50<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "a+b+c = 12+38+50 = 100 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );