document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135065>Question 135065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not know how to solve this. <BR>\n" );
document.write( "Find three consecutive even intergers such that four times the middle interger is equal to two less than the sum of the first and third intgers. \r<BR>\n" );
document.write( "\n" );
document.write( "Equation:?\r<BR>\n" );
document.write( "\n" );
document.write( "Set up <BR>\n" );
document.write( "1st no. = n<BR>\n" );
document.write( "2nd no. = n+2<BR>\n" );
document.write( "3rd no n+4\r<BR>\n" );
document.write( "\n" );
document.write( "I have no clue how to solve this. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98892 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=98892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have more than a clue. Don't fret, You are part way there already.\r<BR>\n" );
document.write( "\n" );
document.write( "Your solution uses the number n. But there is nothing that ensures that 'n' is even. So let's use a different set of numbers.<BR>\n" );
document.write( "Let's assume n is even, if so, then n/2 is still an integer.<BR>\n" );
document.write( "Our three numbers will be n/2, (n+4)/2 and (n+8)/2\r<BR>\n" );
document.write( "\n" );
document.write( "Add in one more given \" four times the middle integer is equal to two less than the sum of the first and third integers.\"\r<BR>\n" );
document.write( "\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28%28n%2B4%29%2F2%29+=+%28%28n%2F2+%2B+%28n%2B8%29%2F2%29%29+-+2+%29 ALIGN=MIDDLE  ALT=\"4%2A%28%28n%2B4%29%2F2%29+=+%28%28n%2F2+%2B+%28n%2B8%29%2F2%29%29+-+2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Left left side is four times the middle number. The right side is the (sum of the first and third) minus 2\r<BR>\n" );
document.write( "\n" );
document.write( "Now solve\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28%28n%2B4%29%2F2%29+=+%28%28n%2F2+%2B+%28n%2B8%29%2F2%29%29+-+2+%29 ALIGN=MIDDLE  ALT=\"4%2A%28%28n%2B4%29%2F2%29+=+%28%28n%2F2+%2B+%28n%2B8%29%2F2%29%29+-+2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28n%2B4%29+=+%28%28n+%2B+%28n%2B8%29%29+-+4+%29 ALIGN=MIDDLE  ALT=\"4%2A%28n%2B4%29+=+%28%28n+%2B+%28n%2B8%29%29+-+4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2B16%29+=+%282n+%2B+8+-+4+%29 ALIGN=MIDDLE  ALT=\"4n%2B16%29+=+%282n+%2B+8+-+4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2B16%29+=+2n+%2B+4+ ALIGN=MIDDLE  ALT=\"4n%2B16%29+=+2n+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n+=+-12+ ALIGN=MIDDLE  ALT=\"2n+=+-12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = -6\r<BR>\n" );
document.write( "\n" );
document.write( "Check : is 4(-4) = (-6 + -2) - 2?<BR>\n" );
document.write( "Nope, so I think there is not a solution to this one<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );