(2) A shipping clerk wishes to determine the weights of five boxes. Each box weighs a different amount less than 100 kg. Unfortunately the only scales available measure weights in excess of 100 kg. The clerk therefore decides to weigh the boxes in pairs, so that each box is weighed with every other box. The weights for the pairs of boxes are (in kilograms) 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121. From this information the clerk can determine the weight of each box. What are the weights of the boxes?