The average of four consecutive even is 27.Find value of the largest these number

1 answer

Let's call the smallest even number "x".

Since the even numbers are consecutive, we can express the four even numbers as x, x+2, x+4, and x+6.

We know that the average of these four numbers is 27, so we can set up an equation:

(x + (x+2) + (x+4) + (x+6))/4 = 27

Simplifying and solving for x:

(4x + 12)/4 = 27

4x + 12 = 108

4x = 96

x = 24

Therefore, the largest even number is x+6, which is 24+6 = 30.