Find Two Consecutive Integers Whose Sum is 365

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The sum of two consecutive integers is 365, find the integers. I can easily tell you that the answer are 182 and 183. You must be interested in how to find these 2 consecutive integers whose sum is 365. There are three methods here, let us introduce them one by one below.

The first method: Hypothetical Method

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

Therefore, the sum of 2 consecutive integers is 365, which can be expressed by the equation

N + (N + 1) = 365

Solve this equation

N + (N + 1) = 365

N + N + 1 = 365

2 * N + 1 = 365

2 * N = 365 – 1

2 * N = 364

N = 364 / 2

N = 182

So, the first integer of 2 consecutive integers whose sum is 365 is 182. The second integer is 182 + 1 = 183.

The answer came out, the sum of 2 consecutive integers is 365, these two integers are 182 and 183. This is the most common method, let’s look at the second method.

The second method: 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 365. In here, M = 2, S = 365. Replace them in the formula to calculate the first integer

First(n) = 365 / 2 – (2 – 1) / 2 = 182.5 – 0.5 = 182

The first integer is 182, therefore, it can be easily calculated that the second integer is 183.

The answer is also 182 and 183. Same as the first method. Then look at the third method, which is also the simplest one.

The third method: 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 365, so, the average of these 2 consecutive integers is 365 / 2 = 182.5. The integers around 182.5 are 181, 182, 183, 184. Now the problem is simple, find 2 consecutive integers from 181 to 184 and their average is 182.5. The answer are 182 and 183.

So the sum of 2 consecutive integers is 365, these integers are 182, 183. The results are consistent with the above two methods. Is it very simple?

Now, we have got the answer that the sum of 2 consecutive integers is 365, some problems can be easily solved.

  • The sum of two consecutive integers is 365, the smaller one is 182.
  • The greater of two consecutive integers whose sum is 365 is 183.
  • The product of two consecutive integers whose sum is 365 is 182 * 183 = 33306.
  • The sum of two consecutive integers is 365, the average of these integers is 182.5.
  • The sum of two consecutive integers is 365, the sum of their squares is 66613.

On this page, in addition to introducing the above three methods, 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.

Okay, that’s it. The above are three common solutions. Please leave a message and tell me, which method do you prefer?

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