Question 998255
Call them a,b,c, and d.
d = 18
c must have taken 26, since four more than half of 44 is 26, and leaves 18, so
c = 26
b must have taken 25, since two more than one third of 69 is 25, leaving 44, so
b = 25
a must have taken 27, since three more than one quarter of 96 is 27, leaving 69, so
a = 27
Adding them up gives
27+25+26+18 = 96 coins
Good puzzle.