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The average of 4 consecutive even numbers is 27. What is the greatest number
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- 28
- 26
- 32
- 30
Correct Option: D
Let the four consecutive even number are x, ( x+2), (x+4), (x+6).
Clearly this is a series of consecutive even numbers
According to the formula,
Average of consecutive numbers = (first number + last number)/ 2
⇒ 27 = [x + (x + 6)]/2
⇒ x + 3 = 27
∴ x =24
∴ Greatest number = 4th consecutive even number = (x + 6) = 24 + 6 = 30