document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=520926>Question 520926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive even integers are such that the difference of the smallest integer and twice the largest integer is 10. Find the three integers.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346277 by </B><A HREF=/tutors/aboutme.mpl?userid=jlshires><B>jlshires(17)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jlshires><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=346277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key to solving this problem is that you know the integers are consecutive, even integers.\r<BR>\n" );
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document.write( "The smallest you can set as x. therefore:\r<BR>\n" );
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document.write( "Let the smallest integer = x<BR>\n" );
document.write( "Let the middle integer = x+2<BR>\n" );
document.write( "Let the largest integer = x+4\r<BR>\n" );
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document.write( "this will make them the consecutive even numbers. (ex: 2,4,6 or 8,10,12)\r<BR>\n" );
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document.write( "The difference of the smallest integer and twice the largest integer is 10\r<BR>\n" );
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document.write( "twice the largest would equal 2(x+4) Therefore:\r<BR>\n" );
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document.write( "2(x+4)-x = 10<BR>\n" );
document.write( "multiply out the 2\r<BR>\n" );
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document.write( "2x+8-x=10\r<BR>\n" );
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document.write( "combine like symbols (2x-x=x)\r<BR>\n" );
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document.write( "x+8=10\r<BR>\n" );
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document.write( "subtract 8 from both sides\r<BR>\n" );
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document.write( "x=2\r<BR>\n" );
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document.write( "Substitute x back into the original formulas\r<BR>\n" );
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document.write( "x=2<BR>\n" );
document.write( "x+2=4<BR>\n" );
document.write( "x+4=6\r<BR>\n" );
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document.write( "the numbers are 2, 4, 6\r<BR>\n" );
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document.write( "(**Always put the numbers that you find back into the formula that you created to test your answer. ex: For this problem, but 2 and 6 back into the formula for \"the difference between the smallest and two times the largest equals 10. \r<BR>\n" );
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document.write( "this would be (2*6)-2 = 12-2 = 10) </SPAN>\n" );
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