document.write( "Question 221859: Find three consecutive even integers such that if the largest integer is subtracted from four times the smallest , the result is 6 more than twice the sum of the two smallest integers \n" ); document.write( "
Algebra.Com's Answer #166318 by ankor@dixie-net.com(22740)\"\" \"About 
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Find three consecutive even integers
\n" ); document.write( "x, (x+2), (x+4)
\n" ); document.write( ":
\n" ); document.write( "the largest integer is subtracted from four times the smallest, the result
\n" ); document.write( " is 6 more than twice the sum of the two smallest integers.
\n" ); document.write( ":
\n" ); document.write( "4x - (x+4) = 2(x + (x+2)) + 6
\n" ); document.write( "Remove the brackets
\n" ); document.write( "4x - x - 4 = 2(2x+2) + 6
\n" ); document.write( "3x - 4 = 4x + 4 + 6
\n" ); document.write( "3x - 4 = 4x + 10
\n" ); document.write( "3x - 4x = 10 + 4
\n" ); document.write( "-x = 14
\n" ); document.write( "x = -14
\n" ); document.write( ":
\n" ); document.write( "-14, -12, -10 are the three integers
\n" ); document.write( ":
\n" ); document.write( "check solution in the statement:
\n" ); document.write( "\"the largest integer is subtracted from four times the smallest, the result
\n" ); document.write( " is 6 more than twice the sum of the two smallest integers\"
\n" ); document.write( "4(-14) - (-10) = 2(-14 + -12) + 6
\n" ); document.write( "-56 + 10 = 2(-26) + 6
\n" ); document.write( "-56 + 10 = -52 + 6
\n" ); document.write( "-46 = -46 \n" ); document.write( "
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