document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871041>Question 871041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two positive numbers have a difference of 10. The larger number is three more than twice the smaller. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525272 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A be the larger number and B be the smaller.<BR>\n" );
document.write( "A - B = 10<BR>\n" );
document.write( "A = 2B + 3<BR>\n" );
document.write( "Substitute the known value of A from the second equation into the first<BR>\n" );
document.write( "(2B+3) - B = 10<BR>\n" );
document.write( "Add<BR>\n" );
document.write( "B + 3 = 10<BR>\n" );
document.write( "Subtract 3 from each side<BR>\n" );
document.write( "B = 7<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If there is a difference of 10, then A = 17.<BR>\n" );
document.write( "Does that work?  Is 17 \"three more than twice\" 7?  17 = (2*7)+3<BR>\n" );
document.write( "Success! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );