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The sum of four consecutive even integers is 124. What are the four numbers?

1 Answer

3 votes

Answer:

28,30,32,34

Step-by-step explanation:

. First, we need to define what are consecutive even integers.

They are even numbers that follow each other without any gaps.

For example, 2, 4, 6, and 8 are consecutive even integers.

Next, we need to assign a variable to the first even integer.

Let's call it x.

Then, the next three consecutive even integers are x + 2, x + 4, and x + 612.

Now, we can write an equation using the given information.

The sum of the four consecutive even integers is 124, so we have: x + (x + 2) + (x + 4) + (x + 6) = 124

Simplifying the equation, we get: 4x + 12 = 124 Subtracting 12 from both sides, we get: 4x = 112 Dividing both sides by 4, we get: x = 28 This means that the first even integer is 28.

To find the other three, we just need to add 2, 4, and 6 to it.

So, the four consecutive even integers are: 28, 30, 32, and 34

We can check our answer by adding them up and seeing if they equal 124: 28 + 30 + 32 + 34 = 124

Yes, they do! So, our answer is correct.

User Jschildgen
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