document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159119>Question 159119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three consecutive integers is 47 less than the least of the integers. Find the integers.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117237 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=117237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = first integer.\r<BR>\n" );
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document.write( "Then:  x + 1 = second integer and x + 2 = third integer\r<BR>\n" );
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document.write( "The least of the integers is x.\r<BR>\n" );
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document.write( "We add all three and then equate the sum to x - 47.\r<BR>\n" );
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document.write( "Where did x - 47 come from?\r<BR>\n" );
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document.write( "In the question we read: \"...47 less than the least of the integers.\"  Since the least of the integers is x, we subtract 47 from the x.\r<BR>\n" );
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document.write( "x + x + 1 + x + 2 = x - 47\r<BR>\n" );
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document.write( "3x + 3 = x - 47\r<BR>\n" );
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document.write( "3x - x = -47 - 3\r<BR>\n" );
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document.write( "2x = -50\r<BR>\n" );
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document.write( "x = -50/2\r<BR>\n" );
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document.write( "x = -25...This is the first integer.\r<BR>\n" );
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document.write( "x + 1 = -25 + 1 = -24...This is the second integer.\r<BR>\n" );
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document.write( "x + 2 = -25 + 2 = -23...This is the third integer.\r<BR>\n" );
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document.write( "Notice that they are consecutive: one comes right after the other.\r<BR>\n" );
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document.write( "Did you follow?\r<BR>\n" );
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document.write( "P.S. The number -25 the furthest away from zero on the number line.  This is why is the smallest of the three integers.\r<BR>\n" );
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