What is the four consecutive integers with a sum of -66?

Question

What are the four consecutive integers with a sum of -66?

Answer 1

Even though we know that the integers must all be negative we can still refer to them as x, x+1, x+2 and x+3. Add then together and we get 4x+6=-66, so 4x=-72 and x=-18. Therefore the integers are -18, -17, -16, -15.

Answer 2

Let any 4 consecutive integers can be defined as w, x, y, and z.
But that makes for a really hard problem to solve.

A simpler way to define them is:
w = w
x = w+1
y = w+2
z = w+3
w+w+1+w+2+w+3=-66
4w+6=-66
w=-18

Hence the numbers are -18,-17,-16,-15

Know more about Integers