Question

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

A 6 Correct Answer Incorrect Answer
B 12 Correct Answer Incorrect Answer
C 14 Correct Answer Incorrect Answer
D 16 Correct Answer Incorrect Answer

Solution

Given that, Sum of the three consecutive even numbers is 28 more than the average of those three numbers Let’s consider the three numbers as 2n, 2n + 2, 2n + 4 Therefore, =2n + 2n + 2 + 2n + 4 = (2n+2n+2+2n+4/3) + 28 => 6n + 6 = 2n + 2 + 28 => 4n = 24 => n = 6 Therefore, smallest number 2n = 2(6) = 12

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