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Find three consecutive integers with a sum of 314

Find three consecutive integers with a sum of 314 MathCelebrity logo Image to Crop The sum of three consecutive integers equals 314. What are the three numbers?

Set up an equation where our numbers are n, n + 1, and n + 2
n + (n + 1) + (n + 2) = 314

Group variables and constants together:

(n + n + n) + 1 + 2 = 314
3n + 3 = 314

Subtract 3 from each side:

3n + 3 - 3 = 314 - 3

Cancel the 3 on the left side and we get:

3n = 311

Divide each side of the equation by 3 to isolate n:


Cancel the 3 on the left side:


n = 103.66666666667

Since n is not an integer, there are not three consecutive integers which add up to 314

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What is the Answer?

Since n is not an integer, there are not three consecutive integers which add up to 314

How does the Sum of Three Consecutive Integers Calculator work?

Free Sum of Three Consecutive Integers Calculator - Finds three consecutive integers, if applicable, who have a sum equal to a number. Sum of 3 consecutive integers
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What 1 formula is used for the Sum of Three Consecutive Integers Calculator?

n + (n + 1) + (n + 2) = T

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What 4 concepts are covered in the Sum of Three Consecutive Integers Calculator?

consecutive integersintegers that follow each other
n, n + 1integera whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...sum of three consecutive integersword problemMath problems involving a lengthy description and not just math symbols

Example calculations for the Sum of Three Consecutive Integers Calculator

Sum of Three Consecutive Integers Calculator Video


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