Question

The sum of three consecutive integers is -51. Find the value of the middle of the
three.

Answer 1

Let's call the middle of the three consecutive integers x. Since the integers are consecutive, we know that the other two integers are x-1 and x+1.

We also know that the sum of the three integers is -51. So, we can set up the equation:

x + (x-1) + (x+1) = -51

Simplifying this equation we have:

3x = -51

Therefore:

x = -51/3

The middle of the three consecutive integers is -17

I hope this helps :)