The sum of the three consecutive even numbers is 44 more than the average of these numbers. Which of the following is the third largest of these numbers?

Solution (By Examveda Team)

Let the numbers be x, x + 2 and x + 4
Then,
⇒ (x + x + 2 + x + 4) - $$\frac{(x + x + 2 + x + 4)}{3}$$    = 44
⇒ (3x + 6) - $$\frac{(3x + 6)}{3}$$   = 44
⇒ 2 (3x + 6) = 132
⇒ 6x = 120
⇒ x = 20
∴ Largest number = x + 4 = 24