The sum of the three consecutive even numbers is 28 more than the average of these numbers. Which of the following is the largest of these numbers?

Let
the three consecutive even numbers be x, (x + 2) and (x + 4)
Sum of three consecutive numbers = x + x + 2 + x + 4
= 3x + 6
Average of the numbers = (3x + 6)/3
= x + 2
According to the question
⇒ (3x + 6) – (x + 2) = 28
⇒ 3x + 6 – x – 2 = 28
⇒ 2x = 28 – 4
⇒ x = 24/2
⇒ x = 12

∴ The largest number is 12 + 4 = 16