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Populaire Word Problems >

If the sum of five consecutive even integers is 100, what is the smallest of the five integers?

Solution

I f t h e s u m o f f i v e co n sec u t i v e e v e n in t e g ers i s 100, 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 : 16

étapes des solutions

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 100

Résoudre

x + x + 2 + x + 4 + x + 6 + x + 8 = 100 : x = 16

x + 2 = 16 + 2 = 18

x + 4 = 16 + 4 = 20

x + 6 = 16 + 6 = 22

x + 8 = 16 + 8 = 24

Select the smallest solution:

16

The smallest number : 16

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