mjwarwick98
mjwarwick98 mjwarwick98
  • 21-01-2019
  • Mathematics
contestada

There are three consecutive even integers. If twice the first integer added to the second is 268,244, find all three integers.

Respuesta :

boffeemadrid
boffeemadrid boffeemadrid
  • 30-01-2019

Answer:

89414,89416,89418

Step-by-step explanation:

Let n bet the positive integer and then 2n is an even integer because multiplying n with 2 makes it an even integer.

Now, 2n+2, 2n+4 are the next integers.

Therefore, three consecutive integers are: 2n, 2n+2, 2n+4.

It is given that twice the first integer added to the second is 268,244 that means:

[tex]2(2n)+(2n+2)=268244[/tex]

[tex]4n+2n+2=268244[/tex]

[tex]6n=268242[/tex]

[tex]n=44707[/tex]

Therefore, three consecutive integers are:

2n=89414, 2n+2=89416, 2n+4=89418

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