Given a + b = a,b∈ R+ 50 . If A, G and H are, respectively, the AM, GM and HM between the numbers a and b, such that the GM exceeds HM by 4, then (where A >1, G > 1, H > 1)
(A) A + G = 30 H
(B) G + H = A + 11
(C) 4 (G + H) = A − 1
(D) A + G = 3(H − 1)