document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615551>Question 615551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 18. Doubling the greater number gives the same result as the product of 5 and the smaller number. What's the larger number?<BR>\n" );
document.write( "The options are<BR>\n" );
document.write( "a)12<BR>\n" );
document.write( "b)30<BR>\n" );
document.write( "c)60<BR>\n" );
document.write( "d)24\r<BR>\n" );
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document.write( "I originally thought the answer was 12 but I was wrong :(\r<BR>\n" );
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document.write( "I started with \"the difference of two numbers is 18<BR>\n" );
document.write( "________ - __________ = 18\r<BR>\n" );
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document.write( "The rest is where I get confused.  Here is what I have attempted<BR>\n" );
document.write( "x=smaller number<BR>\n" );
document.write( "y=greater number<BR>\n" );
document.write( "Doubling the greater number (2y)<BR>\n" );
document.write( "gives the same result( = )<BR>\n" );
document.write( "as the product (multiply) of 5 and the smaller number 5x=2y<BR>\n" );
document.write( "but that doesn't really help me so it must not be right.  \r<BR>\n" );
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document.write( "I would really like to understand the problem and what I am doing right and where I started going wrong so I can walk myself through these questions in the future.  \r<BR>\n" );
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document.write( "Your guidance is appreciated.\r<BR>\n" );
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document.write( "Katie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387220 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you're on the right track\r<BR>\n" );
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document.write( "y - x = 18 ___ y = 18 + x\r<BR>\n" );
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document.write( "5x = 2y\r<BR>\n" );
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document.write( "substituting the equivalent value of y ___ 5x = 2(18 + x) ___ 5x = 36 + 2x\r<BR>\n" );
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document.write( "so you actually found the smaller number the 1st time\r<BR>\n" );
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document.write( "just substitute back to find y </SPAN>\n" );
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