Find 2 consecutive integers with a Sum of 121 ·

13 Jun 2024, 00:00

Find 2 consecutive integers with a Sum of 121 Image to Crop

Find 2 consecutive integers with

a sum of 121

Setup relational equation

We need to find 2 integers, n and n + 1, who have a sum = 121
n + (n + 1) = 121

Grouping like terms, we get 2n + 1 = 121

Subtract 1 from each side:

2n + 1 - 1 = 121 - 1

Cancel the ±1 from each side and simplify:

2n + 1 - 1 = 121 - 1

2n = 120

Divide each side by 2:

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

First Answer:

n = 60

Determine the 2nd Integer:

Now, since we found our first integer, our 2nd integer is just one greater:

(n + 1) = 60 + 1

Second Answer:

(n + 1) = 61

Final Answers:

n = 60
(n + 1) = 61

You have 1 free calculations remaining

What is the Answer?

n = 60
(n + 1) = 61

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 Integers
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 problemsconsecutive 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,...productThe answer when two or more values are multiplied togethersumthe total amount resulting from the addition of two or more numbers, amounts, or itemsword problemMath problems involving a lengthy description and not just math symbols

Find 2 consecutive integers with a Sum of 121