Find three consecutive integers whose sum is -78.

Step-by-step explanation: Let the consecutive integers be x , x+1 and x+ 2 , then we have

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

3x + 3 = -78

3x = -78 - 3

3x = -81

x = -27

Therefore the numbers are

-27 , -26 , -25

-27, -26, and -25

Step-by-step explanation: In this problem we have three consecutive integers whose sum is -78 and we are asked to find the integers.

Our three consecutive integers can be represented as followed.'

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our three consecutive integers is -78, our equation will read as followed.

X + X + 1 + X + 2 = -78

Now we can simplify on the left side of our equation.

3x + 3 = -78

      -3     -3   ← subtract 3 from both sides of the equation

3x = -81

÷3    ÷3   ← divide both sides of the equation by 3

X = -27

X ⇒ -27

X + 1 = -26

X + 2 = -25

Therefore, our three consecutive integers are -27, -26, and -25.

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