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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 -
Answer & Solution
Correct Answer:
Option
C
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
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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