document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199434>Question 1199434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive even integers such that the sum of twice the first and three times the third is fourteen more than four times the second. </SPAN>\n" );
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document.write( "A = 1st number<BR>\n" );
document.write( "B = 2nd number<BR>\n" );
document.write( "C = 3rd number<BR>\n" );
document.write( "Each item is a consecutive even integer.<BR>\n" );
document.write( "Eg: 4,6,8\r<BR>\n" );
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document.write( "A = x<BR>\n" );
document.write( "B = x+2<BR>\n" );
document.write( "C = x+4<BR>\n" );
document.write( "where x is an even integer\r<BR>\n" );
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document.write( "The phrase \"sum of twice the first and three times the third is fourteen more than four times the second\" translates to<BR>\n" );
document.write( "2A+3C = 4B+14\r<BR>\n" );
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document.write( "Apply substitution and solve for x.<BR>\n" );
document.write( "2A+3C = 4B+14<BR>\n" );
document.write( "2x+3(x+4) = 4(x+2)+14<BR>\n" );
document.write( "2x+3x+12 = 4x+8+14<BR>\n" );
document.write( "5x+12 = 4x+22<BR>\n" );
document.write( "5x-4x = 22-12<BR>\n" );
document.write( "x = 10\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "A = x = 10<BR>\n" );
document.write( "B = x+2 = 10+2 = 12<BR>\n" );
document.write( "C = x+4 = 10+4 = 14\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "2A+3C = 4B+14<BR>\n" );
document.write( "2*10+3*14 = 4*12+14<BR>\n" );
document.write( "20+42 = 48+14<BR>\n" );
document.write( "62 = 62<BR>\n" );
document.write( "The answers are confirmed.\r<BR>\n" );
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document.write( "----------------------------------------------\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "<font color=red>10,12,14</font><BR>\n" );
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