Q: There are four consecutive even numbers whose average is 27. Determine the largest of these numbers.

A 30
B 27
C 24
D 36
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Answer: A

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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