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.