Consecutive even numbers are numbers that go in order, such as 1,2,3,4,5.
There are 5 even numbers.
They would be x, x+2, x+4, x+6, and x+8 (you add 2 each time so they are even).
Now when adding all these numbers, you get 100.
So there's your equation.
x+x+2+x+4+x+6+x+8=100
Add like terms.
5x+20=100
Solve for x.
5x=80
x=16
So the first number is 16.
The second is 18.
Third is 20.
Fourth, 22.
And fifth, 24.
You can add them to see if you are correct.
16+18+20+22+24=100
The numbers are 16,18,20,22, and 24.