Jack Marry and Simon shared 180 marbles in the ratio 3: 5: 2. Jack

gave 18 of his marbles to Harry while simon gave half of his marbles to Jack. Find the new ratio of the marbles which Jack, Harry and Simon had respectively. (Express your ratio in its simplest form.)

3+5+2 = 10 parts, so x = 18

Jack had 54
Harry had 90
Simon had 36
(54-18 + 36/2) : (90+18) : (36/2) = 54:108:18 = 3:6:1