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The sum of three consecutive integers is −387. Find the three integers.​

User Jfrantzius
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1 Answer

4 votes

Answer:

-130, -129, -128

Explanation:

consecutive integers are when one integer is greater than the previous one and so on... so assuming the smallest integer which we start with is "x", the next integer is "x+1", and the next integer is "x+1+1".

Adding all these together will give us the sum of three consecutive integers:


x+(x+1)+(x+1+1)

Simplifying inside the parenthesis gives us


x+(x+1)+(x+2)

Simplifying the entire expression gives us the following:


3x+3

This is equal to -387 as stated in the problem, so let's set it equal to -387


3x+3=-387

Subtract 3


3x=-390

Divide by 3


x=-130

Since the consecutive integers are just +1, then +2, we can define the three consecutive integers as

-130, -130 + 1, -130 + 2

which simplifies to

-130, -129, -128

User Greg Combs
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