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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2 Answers

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

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