The sum of three consecutive even numbers is 28 more than…

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The sum of three consecutive even numbers is 28 more than the average of these three number. Then the smallest of these number is –

  1. A. 6
  2. B. 16
  3. C. 12
  4. D. 14

Answer: Option C

Here is complete explanation of The sum of three consecutive even numbers is 28 more than….

Solution(By ExamCraze Team)

Let consecutive even number x, x + 2, x + 4
According to the question,
(x + x + 2 + x + 4) - $$frac{(x + x + 2 + x +4)}{3}$$
$$frac{3(3x + 6) - (3x + 6)}{3}$$    = 28
2 (3x + 6) = 28 × 3
3x + 6 = 42
3x = 36
x = 12
So, smallest number = x = 12

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