1.

The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers, what is the last of these numbers?1). 172). 193). 154). 21

Answer»

Let the numbers be (2N – 1), (2n + 1) and (2n + 3).

AVERAGE of the numbers = ((2n – 1) + (2n + 1) + (2n + 3))/3 = 2n + 1

Given, this average is 14 more than 1/3rd of 2n – 1

⇒ 2n + 1 = 14 + (2n – 1)/3

⇒ 6n + 3 = 42 + 2n – 1

⇒ 4n = 38

n is not an integer, and hence, no such set of numbers exists.


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