document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101999>Question 101999</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321437266/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of three consecutive even integers is 60, what is the first of the three even integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74150 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=74150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the first of the three consecutive even integers is x, then the next even number above<BR>\n" );
document.write( "that is x + 2, and the next even number above that is x + 2 + 2 or x + 4.<BR>\n" );
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document.write( "When you add these three integers together, the sum is to equal 60. So add them in equation form<BR>\n" );
document.write( "and you get:<BR>\n" );
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document.write( "x + x + 2 + x + 4 = 60<BR>\n" );
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document.write( "On the left side combine the three x terms and then combine the 2 and the 4 and you get<BR>\n" );
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document.write( "3x + 6 = 60<BR>\n" );
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document.write( "Get rid of the 6 on the left side by subtracting 6 from both sides. This results in:<BR>\n" );
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document.write( "3x = 54<BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 3 (which is the multiplier <BR>\n" );
document.write( "of x). When you divide both sides by 3 the result is:<BR>\n" );
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document.write( "x = 54/3 = 18<BR>\n" );
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document.write( "So the first of the three consecutive integers is 18. The next even integer is 18 + 2 which<BR>\n" );
document.write( "is 20. And the next consecutive even integer is 18 + 4 = 22.<BR>\n" );
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document.write( "So our answer is that the 3 consecutive integers are 18, 20, and 22.<BR>\n" );
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document.write( "Add them up and you get 60. And since all 3 of these integers are consecutive even numbers,<BR>\n" );
document.write( "our answer of 18, 20, and 22 is correct.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve it.<BR>\n" );
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