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If the sum of the smallest and largest of three consecutive even numbers is 28, what is the value of the second largest number in the series?

Solution

If the sum of the smallest and largest of three consecutive even numbers is 28, what is the value of the second largest number in the series?

Solution

No Solution

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 28

Solve

x + x + 2 + x + 4 = 28 : x = \frac{22}{3}

x + 2 = \frac{22}{3} + 2 = \frac{28}{3}

x + 4 = \frac{22}{3} + 4 = \frac{34}{3}

Odd value

\frac{22}{3}

discarded

No Solution

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