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If x represents an even integer, write expressions in terms of x that represent the next four consecutive even integers. If the five consecutive even integers have a sum of 101, find the numbers. *

Respuesta :

Answer:

16.2, 18,2, 20.2, 22.2, 24.2

Step-by-step explanation:

Let

[tex]x[/tex]

represent an even interger.

Remeber that even intergers have a distance of 2 from each other.

So next four consecutive intergers are

[tex]x + 2[/tex]

[tex]x + 4[/tex]

[tex]x + 6[/tex]

and

[tex]x + 8[/tex]

Part 2: Five consective intergers have a sum of 101, and qe must find the numbers so

[tex]x + x + 2 + x + 4 + x + 6 + x + 8 = 101[/tex]

[tex]5x + 20 = 101[/tex]

[tex]5x = 81[/tex]

[tex]x= 16.2[/tex]

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