# Find Two Consecutive Integers Whose Sum is 39 by 3 Ways

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The sum of two consecutive integers is 39, what the integers? I can easily tell you that the answer are 19 and 20. You must be interested in how to find these 2 consecutive integers whose sum is 39. There are three methods here, let us introduce them one by one below.

## 1. Find two consecutive integers whose sum is 39 by hypothetical method

Assuming that N is used to represent the first integer, so the second integer is N + 1.

Therefore, the sum of 2 consecutive integers is 39, which can be expressed by the equation

N + (N + 1) = 39

Solve this equation

N + (N + 1) = 39

N + N + 1 = 39

2 * N + 1 = 39

2 * N = 39 – 1

2 * N = 38

N = 38 / 2

N = 19

Now, we can get that 19 is the first integer of 2 consecutive integers whose sum is 39. So, the second integer is 20.

The answer came out, the sum of 2 consecutive integers is 39, these three integers are 19 and 20.

Verify: 19 + 20 = 39. Correct!

This is the most common method, let’s look at the second method, which is my favorite method.

## 2. Find two consecutive integers whose sum is 39 by formula method

According to the consecutive integers calculator based on sum, we can know that the sum of M consecutive integers is S, the first integer formula is

First(n) = S / M – (M – 1) / 2

M represents the number of consecutive integers.

S stands for sum.

Back to the problem we want to solve: find two consecutive integers whose sum is 39. In here, M = 2, S = 39. Replace them in the formula to calculate the first integer

First(n) = 39 / 2 – (2 – 1) / 2 = 19.5 – (2 – 1) / 2 = 19.5 – 0.5 = 19

The first integer is 19, so, it can be easily calculated that the second integer is 20.

Thus, the answer are also 19 and 20. Same as the first method. Then look at the third method, which is the simplest one.

## 3. Find two consecutive integers whose sum is 39 by average method

The principle is very simple, because we want to calculate the consecutive integers, so after calculating the average, we can find the integers near the average.

The sum of 2 consecutive integers is 39, so, the average of these 2 consecutive integers is 39 / 2 = 19.5. The integers around 19.5 are 18, 19, 20, 21. Now the problem is simple, find 2 consecutive integers from 18 to 21 and their average is 19.5. The answer are 19 and 20.

So the sum of 2 consecutive integers is 39, these integers are 19, 20. The results are consistent with the above two methods. Is it very simple?

## Problems can be sloved by this answer

Now, we have found out these 2 consecutive integers whose sum is 39, some problems can be easily solved.

• The sum of two consecutive integers is 39, the smaller one is 19.
• The sum of two consecutive integers is 39, the greater integer is 20.
• The sum of two consecutive integers is 39, the product of them is 19 * 20 = 380.
• The sum of two consecutive integers is 39, the average of these integers is 19.5.
• The sum of two consecutive integers is 39, the sum of their squares is 192 + 202 = 761.

## Summarize

On this page, In addition to introducing three methods how to find two consecutive integers whose sum is 39, it also provides a calculator that calculates two consecutive integers based on the sum. If you encounter a similar problem next time, you can directly use this calculator to calculate the answer, which is very convenient.

Of course, if the problem you encounter is more complicated, such as: the number of consecutive integers is not 2, or you need to calculate consecutive odd integers or even integers. You can use our other more advanced sum-based consecutive integers calculator, where you can specify the number of consecutive integers and select consecutive integers type: natural integers, odd integers or even integers. I believe it can help you.

Well, that’s it, the above are three solutions to find two consecutive integers whose sum is 39. It’s not very complicated, but I personally like the second method best, because it can accurately calculate the first integer and the calculation process is very simple. So how about you? Please leave a message and tell me which method you like?