If the average of three consecutive even numbers is 34, find the largest of these numbers.

Question: If the average of three consecutive even numbers is 34, find the largest of these numbers.

Solution:
Let the first number is x, then the next two even numbers would be x + 2, x + 4

As per question;
(x + x + 2 + x + 4)/3 = 34
⇒ (3x + 6)/3 = 34
⇒ 3x + 6 = 102
⇒ 3x = 96
∴ x = 32

Largest number would be = 32 + 4 = 36