document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912144>Question 912144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The smaller of two numbers is 12 less than the larger. Four times the larger exceeds 3 times the smaller by 90. Find 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 #553621 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=553621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B = A - 12<BR>\n" );
document.write( "4A = 3B + 90<BR>\n" );
document.write( "Substitute the value of B from the first equation into the second<BR>\n" );
document.write( "4A = 3B = 90<BR>\n" );
document.write( "4A = 3(A-12) +90<BR>\n" );
document.write( "4A = 3A - 36 + 90<BR>\n" );
document.write( "4A = 3A + 54<BR>\n" );
document.write( "A = 54<BR>\n" );
document.write( "If the larger number is 54, then the smaller number is 42.<BR>Check:<BR>\n" );
document.write( "Four times the larger (4*54=216) exceeds 3 times the smaller (3*42=126) by 90 (126+90=216) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );