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Popular Word Problems >

If the sum of four consecutive even integers is 204, what is the smallest of the four integers?

Solution

I f t h e s u m o f f o u r co n sec u t i v e e v e n in t e g ers i s 204, w ha t i s t h e s ma ll es t o f t h e f o u r in t e g ers ?

Solution

The smallest number : 48

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = 204

Solve

x + x + 2 + x + 4 + x + 6 = 204 : x = 48

x + 2 = 48 + 2 = 50

x + 4 = 48 + 4 = 52

x + 6 = 48 + 6 = 54

Select the smallest solution:

48

The smallest number : 48

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