Let the two consecutive even integers be 'x' and 'x+2'.
The lesser number is 'x' and greater number is 'x+2'
Since, twice the lesser of two integers is 4 less than two times the greater integer.
therefore, 2x = 2(x+2)-4
2x = 2x +4 -4
Therefore, x =0
Hence, x+ 2 = 2
Therefore, 0 and 2 are the required consecutive even integers.