egrin17 egrin17
  • 17-01-2019
  • Mathematics
contestada

The sum of two consecutive even integers is 54.find the integer

Respuesta :

remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 17-01-2019

Answer:

26 and 28.

Step-by-step explanation:

An even integer can be written as: [tex]2k[/tex] for k an integer.

The sum of tow consecutive integers should equal 54:

[tex]2k + 2(k+1) = 54\\4k + 2= 54\\4k = 52\\k = 13[/tex]

Given that k is 13, the two consecutive integers are 26 and 28.

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