document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312472>Question 312472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive integers, such that five times the third, minus two times the first, is the same as four times the second, minus forty. \r<BR>\n" );
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document.write( "Define the three unknowns. <BR>\n" );
document.write( "Write the equation using the unknowns. <BR>\n" );
document.write( "Solve the equation. <BR>\n" );
document.write( "Write the result in a complete sentence.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223369 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Why would you define three unknowns for this problem?  That is a completely unnecessary and very confusing complication to what becomes a very simple problem if you define one unknown and then express the other two numbers in terms of their relationship to the defined unknown.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the first integer.  Then the next consecutive integer is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 1\"> buy the definition of consecutive.  The next one after that is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x\ +\ 1)\ +\ 1\ =\ x\ +\ 2\">.\r<BR>\n" );
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document.write( "Five times the third:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5(x\ +\ 2)\ =\ 5x\ +\ 10\">\r<BR>\n" );
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document.write( "Two times the first:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x\">\r<BR>\n" );
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document.write( "Five times the third minus two times the first:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5x\ +\ 10\ -\ 2x\ =\ 3x\ +\ 10\">\r<BR>\n" );
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document.write( "Four times the second minus forty:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4(x\ +\ 1)\ -\ 40\ =\ 4x\ -\ 36\">\r<BR>\n" );
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document.write( "Putting it all together:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x\ +\ 10\ =\ 4x\ -\ 36\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and the other two numbers are the next two integers.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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