Question

The sum of three consecutive integers is -39. What are the three numbers? Enter your answer as three numbers separated by a comma.

Answer 1

-12, -13, and -14

Step-by-step explanation:

x, y, and z are the three consecutive numbers and they sum -39, so we can write the following equation

x + y + z = -39

Since these numbers are consecutives, we get

y = x + 1

z = x + 2

So, replacing these equation on the first one and solving for x, we get

x + y + z = -39

x + (x + 1) + (x + 2) = -39

x + x + 1 + x + 2 = -39

3x + 3 = -39

3x + 3 - 3 = -39 -3

3x = -42

3x/3 = -42/3

x = -14

Then, y and z are

y = -14 + 1 = -13

z = -14 + 2 = -12

Therefore, the consecutive numbers are

-12, -13, and -14