document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156198>Question 1156198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 23.The greater number is 4 less than 2 times the smaller number.What are 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 #778881 by </B><A HREF=/tutors/aboutme.mpl?userid=alanc><B>alanc(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alanc><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=alanc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translate this word problem into an equation.<BR>\n" );
document.write( "Let the letter a = the greater number.<BR>\n" );
document.write( "let b = the smaller number.\r<BR>\n" );
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document.write( "We see a + b = 23<BR>\n" );
document.write( "Also<BR>\n" );
document.write( "a = 2b - 4<BR>\n" );
document.write( "We have a system of 2 equations in 2 variables.<BR>\n" );
document.write( "Let us use substitution.\r<BR>\n" );
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document.write( "(2b - 4) + b = 23<BR>\n" );
document.write( "3b - 4 = 23<BR>\n" );
document.write( "3b - 4 + 4 = 23 + 4<BR>\n" );
document.write( "3b = 27<BR>\n" );
document.write( "3b / 3 = 27 / 3<BR>\n" );
document.write( "b = 9<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "a = 2*9 - 4<BR>\n" );
document.write( "a = 18 - 4 = 14\r<BR>\n" );
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document.write( "The two numbers are 14 and 9 </SPAN>\n" );
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