# Find 2 consecutive integers with a Sum of 27

The    of consecutive integers equals

Find 2 consecutive integers with a sum of 27

## Setup relational equation

We need to find 2 integers, n and n + 1, who have a sum = 27
n + (n + 1) = 27
Grouping like terms, we get 2n + 1 = 27

## Subtract 1 from each side:

2n + 1 - 1 = 27 - 1

## Cancel the ±1 from each side and simplify:

2n + 1 - 1 = 27 - 1
2n = 26

 2n 2
 =
 26 2

 2n 2
 =
 26 2

n = 13

## Determine the 2nd Integer:

Now, since we found our first integer, our 2nd integer is just one greater:
(n + 1) = 13 + 1
(n + 1) = 14

Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.

### How does the Consecutive Integer Word Problems Calculator work?

Calculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.
This calculator has 1 input.

### What 2 formulas are used for the Consecutive Integer Word Problems Calculator?

1. n + (n + 1) = Sum of Consecutive Integers
2. n(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
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