let x = lowest even number
(x +2), (x+4), (x+6)= the next even numbers
construct the equation
x + (x + 2) + (x + 4) + (x + 6) = 100
4x+12=100
4x=100-12
4x=88
divide both sides by 4
x = 22
x + 2 = 24
x + 4 = 26
x + 6 = 28
22+24+26+28=100
Therefore, the four consecutive even integers are 22, 24, 26 and 28.
