SOLUTION: the sum of three consecutive even integers is 348 . what is the largest of the three integers?

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Question 657922: the sum of three consecutive even integers is 348 . what is the largest of the three integers?
Answer by MathLover1(20850) About Me  (Show Source):
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let x, x%2B2, and x%2B4 be three consecutive even integers
the sum of three consecutive even integers is 348:
x%2B%28x%2B2%29%2B%28x%2B4%29=348.....solve for x
x%2Bx%2B2%2Bx%2B4=348
3x%2B6=348
3x=348-6
x=342%2F3
x=highlight%28114%29........the smallest of the three integers
x%2B2=highlight%28116%29.....
x%2B4=highlight%28118%29..... is the largest of the three integers