SOLUTION: If the sum of three consecutive even integers is 204 what is the first of the three even integars? Hint:if x and x+2 represent the first two consecutive even integers, then how wou

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Question 1022676: If the sum of three consecutive even integers is 204 what is the first of the three even integars? Hint:if x and x+2 represent the first two consecutive even integers, then how would The third consecutive even integer be represented?
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39616) About Me  (Show Source):
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Three consecutive even integers are 2x, 2x+2, 2x+4.


2x%2B%282x%2B2%29%2B%282x%2B4%29=204

6x%2B6=204

6x=198

x=33; the first integer is 66.

Answer by MathTherapy(10551) About Me  (Show Source):
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If the sum of three consecutive even integers is 204 what is the first of the three even integars? Hint:if x and x+2 represent the first two consecutive even integers, then how would The third consecutive even integer be represented? 
1st integer: x

2nd integer: x + 2

highlight_green%28matrix%281%2C5%2C+3%5Erd%2C+%22integer%3A%22%2C+x%2C+%22%2B%22%2C+4%29%29

x + x + 2 + x + 4 = 204

3x + 6 = 204

3x = 204 - 6

3x = 198

x, or 1st integer = 198%2F3, or highlight_green%2866%29

Answer by Alan3354(69443) About Me  (Show Source):
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204/3 is the middle integer.