The average of Four consecutive even numbers is 27. Find the value of the largest of these numbers?

1 answer

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.