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

---

Determine the 2nd Integer:

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

---

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

Consecutive Integer Word Problems Calculator Video

Tags:

• consecutive integer word problems
• consecutive integers
• integer
• product
• sum
• word problem

Add This Calculator To Your Website