Question

The sum 4 consecutive integers is 302. What are the integers

Answer 1

Let's represent the four consecutive integers as x, x+1, x+2, and x+3.

According to the problem, the sum of these integers is 302:

x + (x+1) + (x+2) + (x+3) = 302

Now, let's simplify the equation:

4x + 6 = 302

Subtract 6 from both sides of the equation:

4x = 302 - 6
4x = 296

Now, divide by 4 to find the value of x:

x = 296 / 4
x = 74

So, the four consecutive integers are 74, 75, 76, and 77.

Answer 2

74, 75, 76, 77

Explanation:

You want the four consecutive integers that have a sum of 302.

Consecutive integers

The average of the four integers will be halfway between the middle two:

302/4 = 75.5

The integers are 74, 75, 76, 77.

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Additional comment

We find it convenient to work consecutive integer problems by considering the average of the integers involved. If there are an odd number of integers, their average is the middle one. If there are an even number, as here, then their average lies between the middle two. Once you know the average value, you can easily find the desired number of integers on either side of that value.

When there are 4 integers, two will lie below the average, and two will lie above the average.

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