document.write( "Question 1018435: Find three consecutive even integers such that the sum of twice the first, four times the second, and three times the third is 398
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Algebra.Com's Answer #634662 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "3 consecutive even integers \n" ); document.write( "n, n + 2 and n + 4. \n" ); document.write( "2(n) + 4(n + 2) + 3(n + 4) = 398 \n" ); document.write( "2n + 4n + 8 + 3n + 12 = 398 \n" ); document.write( "Collect like terms \n" ); document.write( "2n + 4n + 3n + 398 - 8 - 12 \n" ); document.write( "9n = 378 \n" ); document.write( "n = 42 \n" ); document.write( "42, 44, 46 \n" ); document.write( "Proof: \n" ); document.write( "2(42) + 4(44) + 3(46) = 398 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |