# Mean of three consecutive even numbers is 16. The numbers are

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Mean of three consecutive even numbers is 16. The numbers are

A) -14,-16,-18

B) 13, 15, 17

C) -13, -15, -17

D) 14, 16, 18

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Correct option is (D) 14, 16, 18

Let three consecutive even numbers are x - 2, x & x+2.

$\therefore$ Their mean $=\frac{(x-2)+x+(x+2)}3$

$=\frac{3x}3$ = x

But given that mean of three consecutive even numbers is 16.

$\therefore$ x = 16

Thus, required numbers are 14, 16, 18.

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D) 14, 16, 18