document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125486>Question 125486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of 4 consecutive integers is one more than the third. Find the integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91928 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=91928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the first integer is x, then the second must be x + 1, the third x + 2, and the fourth x + 3.  Their sum must then be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This sum is one more than the third.  The third consecutive integer is x + 2, so one more than that is x + 3.  Therefore we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Removing the parentheses and collecting terms gets us to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B6=x%2B3 ALIGN=MIDDLE  ALT=\"4x%2B6=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -x to both sides and add -6 to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-3 ALIGN=MIDDLE  ALT=\"3x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the integers are -1, 0, 1, and 2.\r<BR>\n" );
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document.write( "Check:  -1 + 0 + 1 + 2 = 2, so the sum of the integers is 2.<BR>\n" );
document.write( "The third is 1, and one more than that is 2.  Answer checks. </SPAN>\n" );
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