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

Divide each side by 2:
2n
2
=
26
2

Cancel the 2's on the left side of the equation and simplify:
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.