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Popular Word Problems >

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

I f t h e s u m o f t h e s ma ll es t an d l a r g es t o f t h ree co n sec u t i v e e v e n n u mb ers i s 28, w ha t i s t h e v a l u e o f t h e seco n d l a r g es t n u mb er in t h e ser i es ?

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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