SOLUTION: 4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of ev

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: 4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of ev      Log On


   



Question 957618: 4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of even. I tried this, but I must be setting it up wrong....
integers are : x, x + 2, x + 4
set it up like this : 4(x) = 2(x + 4) + 6
that does not work....what am I doing wrong ?

Answer by Alan3354(69443) About Me  (Show Source):
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4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of even. I tried this, but I must be setting it up wrong....
integers are : x, x + 2, x + 4
set it up like this : 4(x) = 2(x + 4) + 6
that does not work....what am I doing wrong ?
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4x = 2*(x+4) + 6
4x = 2x+8 + 6 = 2x + 14
x = 7
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There's no solution with even integers.
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Try 6, 8 & 10
4*6 =? 2*10 + 6 NG
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Try 8, 10 & 12
4*8 =? 2*12 + 6 NG