The average of Four consecutive even numbers is 27. Find the value of the largest of these numbers?
Let the first even number be x.
Then the consecutive even numbers are x+2, x+4, and x+6.
According to the given information, the average of these four numbers is 27:
(x + (x + 2) + (x + 4) + (x + 6))/4 = 27
Simplifying the equation:
(4x + 12)/4 = 27
4x + 12 = 108
4x = 108 - 12
4x = 96
x = 96/4
x = 24
Therefore, the largest of these numbers is x + 6 = 24 + 6 = 30.
The value of the largest of these numbers is 30.