document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107696>Question 107696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three consecutive odd integers is 201.  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 #78464 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=78464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the first odd integer. The second consecutive odd integer must be 2 units<BR>\n" );
document.write( "above the first. Therefore, the second odd integer is x + 2. And the third odd integer is<BR>\n" );
document.write( "2 units above the second. So it is at x + 2 + 2 = x + 4. In summary, the three consecutive<BR>\n" );
document.write( "odd integers are x, x + 2, and x + 4.<BR>\n" );
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document.write( "If you add these together, the problem tells you that their sum is 201. In equation <BR>\n" );
document.write( "form this is:<BR>\n" );
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document.write( "x + x + 2 + x + 4 = 201<BR>\n" );
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document.write( "When you collect like terms the left side becomes:<BR>\n" );
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document.write( "(x + x + x) + (2 + 4) = 201<BR>\n" );
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document.write( "This simplifies to:<BR>\n" );
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document.write( "3x + 6 = 201<BR>\n" );
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document.write( "Get rid of the 6 on the left side by subtracting 6 from both sides of the equation.<BR>\n" );
document.write( "This subtraction results in the equation becoming:<BR>\n" );
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document.write( "3x = 195<BR>\n" );
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document.write( "Solve for x by dividing both sides by 3 to get:<BR>\n" );
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document.write( "x = 195/3 = 65<BR>\n" );
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document.write( "So the first odd integer is 65. Therefore the three consecutive odd integers are 65, 67, and 69.<BR>\n" );
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document.write( "Check: does the sum of these three consecutive odd integers = 201?  Yes, 65 + 67 + 69 does<BR>\n" );
document.write( "equal 201. Therefore, our answer is correct.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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