1.

The sum of four consecutive even numbers is 27 more than the average of these four numbers. Then the second largest numbers is1. 102. 83. 64. 12

Answer» Correct Answer - Option 1 : 10

Given:

Sum of four consecutive even numbers = 27 more than the average

Formula used:

Arithmetic mean = [(1st number + last number)/2]

Calculation:

Let 1st even number be n

So, other three numbers = (n + 2), (n + 4), (n + 6)

n + (n + 2) + (n + 4) + (n + 6) = [{(n  + (n + 6)}/2] + 27

⇒ 4n + 12 = n + 3 + 27

⇒ 3n = 30 – 12 

⇒ 3n = 18

⇒ n = 6

⇒ (n + 4) = 6 + 4

⇒ 10

∴ The second largest number is 10


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