document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206147>Question 206147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The denominator of a fraction is 12 more than the numerator. If 16 is added to the numerator and 16 is subtracted from the denominator, the value of the resulting fraction is equal to 2/1. Find the original fraction.\r<BR>\n" );
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document.write( "2. A number is 6 times the sum of its digits. The tens digit is 1 greater than the units digit. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155698 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. The denominator of a fraction is 12 more than the numerator.<BR>\n" );
document.write( " If 16 is added to the numerator and 16 is subtracted from the denominator,<BR>\n" );
document.write( " the value of the resulting fraction is equal to 2/1. <BR>\n" );
document.write( "Find the original fraction.<BR>\n" );
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document.write( "Let x = the numerator<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+12) = the denominator<BR>\n" );
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document.write( "2/1 is just 2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B16%29%2F%28%28x%2B12%29-16%29 ALIGN=MIDDLE  ALT=\"%28x%2B16%29%2F%28%28x%2B12%29-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B16%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B16%29%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
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document.write( "x + 16 = 2(x-4)<BR>\n" );
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document.write( "x + 16 = 2x - 8<BR>\n" );
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document.write( "16 + 8 = 2x - x<BR>\n" );
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document.write( "24 = x<BR>\n" );
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document.write( "The original fraction = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F36 ALIGN=MIDDLE  ALT=\"24%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "is this true?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2B16%29%2F%2836-16%29 ALIGN=MIDDLE  ALT=\"%2824%2B16%29%2F%2836-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F20 ALIGN=MIDDLE  ALT=\"40%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
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document.write( "2. A number is 6 times the sum of its digits.<BR>\n" );
document.write( " The tens digit is 1 greater than the units digit.<BR>\n" );
document.write( "Find the number.<BR>\n" );
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document.write( "Let x = the 10's digit; let y = the units<BR>\n" );
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document.write( "10x + y = \"the two digit number\"<BR>\n" );
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document.write( "10x + y = 6(x + y)<BR>\n" );
document.write( "10x + y = 6x + 6y<BR>\n" );
document.write( "10x - 6x = 6y - y<BR>\n" );
document.write( "4x = 5y<BR>\n" );
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document.write( "The 10's digit is 1 greater than the units<BR>\n" );
document.write( "x = y + 1<BR>\n" );
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document.write( "replace x with y+1<BR>\n" );
document.write( "4(y+1) = 5y<BR>\n" );
document.write( "4y + 4 = 5y<BR>\n" );
document.write( "4 = 5y - 4y<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "then<BR>\n" );
document.write( "54 is the number<BR>\n" );
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document.write( "Is this true:<BR>\n" );
document.write( "54 = 6(5+4) </SPAN>\n" );
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