arturobiles300 arturobiles300
  • 22-02-2021
  • Mathematics
contestada

The sum of three consecutive even integers is
312. Find the Integers.

Respuesta :

dewainmolter2 dewainmolter2
  • 23-02-2021

Answer:

104, 105, 106

Step-by-step explanation:

Consider three consecutive integers.  If the first is x then the second is 1 more than x (or x+1) and the third is x+2

The sum of these three integers is x + x+1 + x+2 and is known to be 312, so

x + x+1 + x+2 = 312, gather like terms

3x + 3 = 312, subtract 3 from both sides

3x = 309, divide both sides by 3

x = 104, so the integers are

104, 105, 106

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