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Popular Word Problems >

If the sum of four consecutive odd integers is 304, what is the smallest of the five integers?

Solution

I f t h e s u m o f f o u r co n sec u t i v e o dd in t e g ers i s 304, w ha t i s t h e s ma ll es t o f t h e f i v e in t e g ers ?

Solution

The smallest number : 73

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 = 304

Solve

x + x + 2 + x + 4 + x + 6 = 304 : x = 73

x + 2 = 73 + 2 = 75

x + 4 = 73 + 4 = 77

x + 6 = 73 + 6 = 79

Select the smallest solution:

73

The smallest number : 73

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