document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212840>Question 212840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 25. Twelve less than four times one of the numbers is 16 more than twice the other number. Find both Numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160756 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 25. Twelve less than four times one of the numbers is 16 more than twice the other number. Find both Numbers.\r<BR>\n" );
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document.write( "Step 1.  Let m be one number.\r<BR>\n" );
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document.write( "Step 2.  Let n be the other number\r<BR>\n" );
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document.write( "Step 3.  m+n=25 or n=25-m\r<BR>\n" );
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document.write( "Step 4.  4n-12 (Twelve less than four times one of the numbers)\r<BR>\n" );
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document.write( "Step 5.  2m+16 (16 more than twice the other number)\r<BR>\n" );
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document.write( "Step 6.  Set equation Steps 4 and 5 to be equal and find the numbers. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n-12=2m%2B16 ALIGN=MIDDLE  ALT=\"4n-12=2m%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute n=25-m into above equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2825-m%29-12=2m%2B16 ALIGN=MIDDLE  ALT=\"4%2825-m%29-12=2m%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100-4m-12=2m%2B16 ALIGN=MIDDLE  ALT=\"100-4m-12=2m%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 4m-16 to both sides of equation to isolate m terms on right side and numbers on left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88-4m%2B4m-16=2m%2B16%2B4m-16 ALIGN=MIDDLE  ALT=\"88-4m%2B4m-16=2m%2B16%2B4m-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88-16=2m%2B4m ALIGN=MIDDLE  ALT=\"88-16=2m%2B4m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72=6m ALIGN=MIDDLE  ALT=\"72=6m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 6 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F6=6m%2F6 ALIGN=MIDDLE  ALT=\"72%2F6=6m%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=m ALIGN=MIDDLE  ALT=\"12=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  So m=12 and n=25-12=13\r<BR>\n" );
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document.write( "NOTE:  Let's verify the above numbers with the problem statement:  Twelve less than four times one of the numbers is 16 more than twice the other number. Find both Numbers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2813%29-12=2%2812%29+%2B16 ALIGN=MIDDLE  ALT=\"4%2813%29-12=2%2812%29+%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52-12=24%2B16 ALIGN=MIDDLE  ALT=\"52-12=24%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=40 ALIGN=MIDDLE  ALT=\"40=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >  So it works!\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For Step-By-Step free videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( " </SPAN>\n" );
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