There are 3 consecutive odd integers that sum to –267. What is the value of the greatest integer?

Question

i dont know how to solve and i need help

Answer 1

Consecutive odd integers are separated by 2. The 3 numbers are

n

n + 2

n + 4 (this is the largest)

The wording of the problem translates into

n + (n + 2) + (n + 4) = -267 ⇒

3n + 6 = -267

Now solve for n, get n+4, and finish from here.