adam is trying to solve the following riddle: "The sum of three consecutive integers is −36. What are the integers?" Solve Adam's riddle.

Question

Write the equation.

Solve for the 3 integers

Answer 1

If "n" is the first number, then the second number is "n + 1" and the third number is "n + 2"

That means n + (n + 1) + (n + 2) = -36

Combine like-terms to get: 3n + 3 = -36

Subtract 3 from both sides to get: 3n = -39

Divide both sides by 3 to get n = -13

So the first number is -13. The second number was "n + 1" so -13 + 1 = -12

The third number was "n + 2" so -13 + 2 = -11

So the 3 numbers are -13, -12, and -11

Answer 2

X + (X+1) + (X + 2) = -36 and solve for X

3X + 3 = -36

3X = -39

X = -13

So, -13, -12 and -11 are the 3 consecutive integers