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Here are two ways to solve this:
Intuitively:
three consecutive even integers with a sum of 42 must be centered around 42/3=14. The answer is 12, 14, and 16, which can be verified by adding them: 12+14+16=42
Or algebraically:
With N the lowest even integer:
N+N+2+N+4=42
3N=36
N=12
So the answer is 12, 14, and 16.
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Can you identify three consecutive even integers whose sum is 219?
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