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QThere are four consecutive even numbers whose average is 27. Determine the largest of these numbers.
ID: #4478
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Given: The average of four consecutive even numbers is 27 Find: The largest of these numbers Let the four consecutive even numbers be x, x + 2, x + 4, and x + 6. Then the sum of these numbers is 4*27 = 108. Solve for x: x + (x + 2) + (x + 4) + (x + 6) = 108 4x = 96 x = 24 Therefore, the largest number is x + 6 = 24 + 6 = 30.
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