document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124904>Question 124904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the larger of two numbers is five times the smaller. if the difference is fifty-two, what are these numbers? thanks for helping out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91574 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=91574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let L represent the larger number and S represent the smaller number. <BR>\n" );
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document.write( "The problem first tells you that the Larger number is 5 times the Smaller number. In equation<BR>\n" );
document.write( "form this becomes:<BR>\n" );
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document.write( "L = 5*S<BR>\n" );
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document.write( "Then the problem tells you that the difference of the two numbers is 52. In equation form<BR>\n" );
document.write( "this is:<BR>\n" );
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document.write( "L - S = 52<BR>\n" );
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document.write( "But from the first equation you know that L equals 5S. So in the second equation you can<BR>\n" );
document.write( "substitute 5S for L. When you do that substitution the second equation becomes:<BR>\n" );
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document.write( "5S - S = 52<BR>\n" );
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document.write( "Combine the two terms on the left side and the equation is reduced to:<BR>\n" );
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document.write( "4S = 52<BR>\n" );
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document.write( "Solve for S by dividing both sides of this reduced equation by 4 and you get:<BR>\n" );
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document.write( "S = 52/4 = 13<BR>\n" );
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document.write( "So now you know that the Smaller number is 13. And you also know that the Larger number is<BR>\n" );
document.write( "5 times the Smaller number. Therefore, the larger number is 5*13 = 65<BR>\n" );
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document.write( "So now you know that the two numbers are 65 and 13. Notice that the difference in these<BR>\n" );
document.write( "two numbers is 52, just as the problem said it should be.<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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document.write( " </SPAN>\n" );
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