Question

The average of four consecutive even numbers is 27.Find the largest of these numbers.
1. 24
2. 30
3. 32
4. 28

Answer 1

Correct Answer - Option 2 : 30

GIVEN: 

Average of 4 consecutive even numbers = 27

FORMULA USED:

Average = (Sum of all observations)/Numbers of observations

CALCULATION:

Let four consecutive even number are x, x + 2, x + 4, x + 6

⇒ Average of 4 consecutive even numbers = 27

⇒ Average = (Sum of all observations)/Numbers of observations

⇒ (x + x + 2 + x + 4 + x + 6)/4 = 27

⇒ (4x + 12)/4 = 27

⇒ x + 3 = 27

⇒ x = 24

⇒ Four consecutive even number are 24, 26, 28, 30

∴ The largest of the four consecutive even numbers are 30