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The largest is 30.

Let the largest of the four consecutive even numbers be n;

then the four consecutive even numbers are (n - 6), (n - 4), (n - 2) & n, and:

((n - 6) + (n - 4) + (n - 2) + n) ÷ 4 = 27

⇒ (4n - 12) ÷ 4 = 27

⇒ n - 3 = 27

⇒ n = 30

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Q: The average of four consecutive even number is 27 the largest of these number?
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