fortunephalane54 fortunephalane54
  • 26-10-2021
  • Mathematics
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The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

The sum of three consecutive even integers is 78 What is the smallest integer Show all working outs 5 class=

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that0n3g2y that0n3g2y
  • 26-10-2021

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

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