document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086320>Question 1086320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 76. The larger number is 14 more than the smaller number. What are the two numbers?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700491 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "The sum of two numbers is 76. The larger number is 14 more than the smaller number. What are the two numbers?<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "Sum and difference problem, many of us can do this in the head.<BR>\n" );
document.write( "Larger number = (sum+difference)/2=(76+14)/2=45<BR>\n" );
document.write( "Smaller number = (sum-difference)/2=(76-14)/2=31<BR>\n" );
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document.write( "Can also solve by system of equations:<BR>\n" );
document.write( "L=larger number<BR>\n" );
document.write( "S=smaller number<BR>\n" );
document.write( "L+S=76 ...........(1)<BR>\n" );
document.write( "L-S=14 ...........(2)<BR>\n" );
document.write( "Add (1) & (2)<BR>\n" );
document.write( "2L=76+14=90<BR>\n" );
document.write( "L=90/2=45<BR>\n" );
document.write( "Subtract (2) from (1)<BR>\n" );
document.write( "2S=76-14=62<BR>\n" );
document.write( "S=62/2=31<BR>\n" );
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