document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60672>Question 60672</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534944949/algebrahomeworkh>Essential Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi I am having a problem grasping consecutive integers. I do not know how to write out this equation. Any help would be appreciated.<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Lee Ann\r<BR>\n" );
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document.write( "Problem: Twice the sum of the first and third of three consecutive integers is fifteen less than the second integer. 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 #41648 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=41648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cosecutive integers are numbers which follow each other.<BR>\n" );
document.write( "For example:  2, 3, 4, 5...are consecutive.<BR>\n" );
document.write( "Similarly 39, 38, 37, 36, 35,.... are consecutive.<BR>\n" );
document.write( "It follows that the integers have a difference of 1.<BR>\n" );
document.write( "So let us take the 3 consecutive integers as (x-1), x,(x+1)\r<BR>\n" );
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document.write( "Twice the sum of the first and the third integers is<BR>\n" );
document.write( "2[(x-1) + (x+1)]\r<BR>\n" );
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document.write( "This is 15 less than the second integer.<BR>\n" );
document.write( "==> 2[(x-1) + (x+1)] = x - 15\r<BR>\n" );
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document.write( "==> 2(x-1+x+1) = x - 15<BR>\n" );
document.write( "==> 2(2x) = x - 15<BR>\n" );
document.write( "==> 4x = x - 15<BR>\n" );
document.write( "==> 4x - x = -15<BR>\n" );
document.write( "==> 3x = -15<BR>\n" );
document.write( "==> 3x/3 = -15/3<BR>\n" );
document.write( "==> x = -5<BR>\n" );
document.write( "So the first integer is x - 1 = -5 -1<BR>\n" );
document.write( "                              = -6\r<BR>\n" );
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document.write( "The second integer = x<BR>\n" );
document.write( "                   = -5\r<BR>\n" );
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document.write( "The third integer = x+1<BR>\n" );
document.write( "                  = -5 + 1<BR>\n" );
document.write( "                  = - 4\r<BR>\n" );
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document.write( "The three consecutive integers are -6, -5, -4.\r<BR>\n" );
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document.write( "Good Luck!!!<BR>\n" );
document.write( "                              <BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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