Question

The sum of three consecutive integers is -27. Find the value of the middle of the
three.

Answer 1

Key Ideas

• Algebra
• Word problems

Solving the Question

Let the middle integer be x.

We're given:

• 
  `(x-1) + x + (x+1) = -27`
• Solve for x.

`(x-1) + x + (x+1) = -27`

Open up the brackets:

`x-1 + x + x+1 = -27`

Combine like terms:

`3x = -27`

Divide both sides by 3:

`(3x)/(3) = (-27)/(3)`

`x=-9`

Answer

The value of the middle integer is -9.