Correct Answer - Option 4 : 28
Given:
Average of 5 consecutive even numbers = 24
Calculation:
Let the 5 consecutive even numbers be x, x + 2, x + 4, x + 6 and x + 8.
According to the question,
Average of the 5 consecutive numbers = (Sum of the 5 consecutive numbers)/5
⇒ 24 = {(x) + (x + 2) + (x + 4) + (x + 6) + (x + 8)}/5
⇒ 24 × 5 = 5x + 20
⇒ 5x = 120 – 20
⇒ x = 100/5
⇒ x = 20
So, The greatest number = x + 8
⇒ 20 + 8
⇒ 28
∴ The greatest number among the five numbers is 28.
