As an incentive to lose weight, 5 members of the Hefty Hippos Weight Watchers' Club decided that the hippo who lost the most weight by a certain date would win a prize. When the day came to determine the winner, the hippos went down to the nearby warehouse to use the heavy duty scales. But the scales started at 300kg, more than any of them weighted. What were they to do? Heloise, a hippo of some considerable mathematical prowess, came up with a solution. She said that they merely needed to weigh all possible pairs of hippos and then determine each hippo's weight from all these weighings. The weights of all possible pairs were as follows (in kg): 381, 383, 386, 388, 391, 391, 292, 295, 397, 402. How much did each hippo weigh? (You may assume that all weights are whole numbers.)
I would greatly appreciate any help on this problem. Thanks!