Find 2 consecutive integers with a Sum of 12
Andrew Adams
Published Jan 20, 2026
Find 2 consecutive integers with
a sum of 12
Setup relational equation
We need to find 2 integers, n and n + 1, who have a sum = 12
n + (n + 1) = 12
Grouping like terms, we get 2n + 1 = 12
Subtract 1 from each side:
2n + 1 - 1 = 12 - 1Cancel the ±1 from each side and simplify:
2n + 1 - 1 = 12 - 1
2n = 11
Divide each side by 2:
Cancel the 2's on the left side of the equation and simplify:
First Answer:
n = 5.5
Determine the 2nd Integer:
Since 5.5 is not an integer, no solution exists.
Final Answers:
n = 5.5
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What is the Answer?
How does the Consecutive Integer Word Problems Calculator work?
Free Consecutive Integer Word Problems Calculator - Calculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.
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What 2 formulas are used for the Consecutive Integer Word Problems Calculator?
n + (n + 1) = Sum of Consecutive Integersn(n + 1) = Product of Consecutive Integers
For more math formulas, check out our Formula Dossier
What 6 concepts are covered in the Consecutive Integer Word Problems Calculator?
- consecutive integer word problems
- consecutive integers
- integers that follow each other
n, n + 1 - integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - product
- The answer when two or more values are multiplied together
- sum
- the total amount resulting from the addition of two or more numbers, amounts, or items
- word problem
- Math problems involving a lengthy description and not just math symbols
