document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180772>Question 1180772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are three consecutive even integers. If twice the first integer added to the third is 268,246 find all 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 #810561 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "While it is often the case in problems with consecutive even integers that using x-2, x, and x+2 for the three integers makes the algebra needed to solve the problem easier, it does not look that way for this problem.<br><BR>\n" );
document.write( "A quick mental solution could go like this:<br><BR>\n" );
document.write( "The third integer is 4 more than the first; so if the sum of the third and twice the first is 268,246 then three times the first is 268,246-4=268,242.  So the smallest of the integers is 268,242/3 = 89414.<br><BR>\n" );
document.write( "ANSWERS: 89,414; 89,416; and 89,418<br><BR>\n" );
document.write( "The same solution using formal algebra would look like this:<br><BR>\n" );
document.write( "2(x)+(x+4) = 268246<BR>\n" );
document.write( "3x+4 = 268246<BR>\n" );
document.write( "3x=268242<BR>\n" );
document.write( "x=268242/3 = 89414<br><BR>\n" );
document.write( "89414, 89416, and 89418<br><BR>\n" );
document.write( " </SPAN>\n" );
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