Question

The sum of three consecutive integers is – 135. Find the three integers.

Answer 1

Step-by-step explanation:

let the first integar be x

the second is x+1

the third is x+2

x+x+1+x+2=-135

3x+3=-135

3x=-135-3

3x=-138

x=-138/3=-46

the first number is -46

the second number is -46+1=-45

the third number is -46+2=-44

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Answer 2

Answer:

-45, -44, -43

Step-by-step explanation:

Let the smallest consecutive integer be x. Consecutive integers have a difference of 1, so the next consecutive integer must be x+1, and the next is x+2. Since they all add up to -135, we can form this equation: x+x+1+x+2=-132. When you solve, x should be -45, which is the smallest in the set. So the next must be -45+1=-44, and the next is -44+1 which is -43.