Answered

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

Answer :

THELEANGREENBEANGO

Key Ideas

  • Algebra
  • Word problems

Solving the Question

Let the middle integer be x.

We're given:

  • [tex](x-1) + x + (x+1) = -27[/tex]
  • Solve for x.

[tex](x-1) + x + (x+1) = -27[/tex]

Open up the brackets:

[tex]x-1 + x + x+1 = -27[/tex]

Combine like terms:

[tex]3x = -27[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]

[tex]x=-9[/tex]

Answer

The value of the middle integer is -9.

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