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The sum of three consecutive even integers
is –78. What are the integers?
Describe how you would use the strategy of writing an equation to solve the given problem.

Respuesta :

mhanifa

Answer:

  • - 28, - 26 and - 24

Step-by-step explanation:

The difference between two consecutive even integers is 2.

Let the first of the three integers is x, then the following ones are:

x + 2 and x + 4.

The sum of the three is - 78. Express it as equation and solve for x:

  • x + x + 2 + x + 4 = - 78
  • 3x + 6 = - 78
  • 3x = - 84
  • x = - 84/3
  • x = - 28

The integers are - 28, - 26 and - 24

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