document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5983>Question 5983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find four consecutive even integers such that if the sum of the first and third is multiplied by 6 the result is 8 more than 10 times the 4th.<BR>\n" );
document.write( "can you please show me the formula also because i have looked all through my text book and it doesnt explain it in detail and skips steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3153 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=3153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first even integer be x.<BR>\n" );
document.write( "The second consecutive even integer will be (x + 2)<BR>\n" );
document.write( "The third one will be (x + 4)<BR>\n" );
document.write( "And the fourth one will be (x + 6)\r<BR>\n" );
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document.write( "Now write the necessary equations.\r<BR>\n" );
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document.write( "The sum of the 1st and 3rd multiplied by 6 is:<BR>\n" );
document.write( "  6[x + (x + 4)]<BR>\n" );
document.write( "The result is (=): 8 more (+8) than 10 times the fourth 10(x + 6) or:<BR>\n" );
document.write( " 10(x + 6) + 8 \r<BR>\n" );
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document.write( "Put it all together and solve for x:\r<BR>\n" );
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document.write( "6[x + (x + 4)] = 10(x + 6) + 8  Simplify.<BR>\n" );
document.write( "6[2x + 4] = 10x + 60 + 8<BR>\n" );
document.write( "12x + 24 = 10x + 68  Subtract 10x from both sides.<BR>\n" );
document.write( "2x + 24 = 68 Subtract 24 from both sides.<BR>\n" );
document.write( "2x = 44 Divide both sides by 2.<BR>\n" );
document.write( "x = 22 This is the first even integer.<BR>\n" );
document.write( "x + 2 = 24 This is the second consecutive even integer.<BR>\n" );
document.write( "x + 4 = 26 This is the third consecutive even integer.<BR>\n" );
document.write( "x + 6 = 28 This is the fourth consecutive even integer.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "6[x + (x + 4)] = 6[22 + (22 + 4)] = 6[22 + 26] = 6[48] = 288\r<BR>\n" );
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document.write( "10(x + 6) + 8 = 10(22 + 6) + 8 = 10(28) + 8 = 280 + 8 = 288 </SPAN>\n" );
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