The average (arithmetic mean) of three positive numbers, x, y and z, is 12. When the greatest of these numbers is subtracted from the sum of the other two, the result is 4. If x<y<z, which of the following pair of equations could correctly express the information above.
(A) x+y+z36
x+y-z=4
(B) x+y+z=36
x+y-z=8
(C) x+y+z=24
x+y-z=4
(D) x+y+z=24
x+y-z=8
(E) x+y+z=42
xy+z=32