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Problem of the Week
Problem
E
A
Heavy Problem
Four boxes: one blue, one green, one pink, and one yellow, each have
a different mass. The mass of each box, in grams, is a positive integer.
Inkeri does not know the individual masses of the boxes, but she knows
the combined mass of the pink, blue, and green boxes is grams. She also knows the combined
mass of the blue, green, and yellow boxes is grams, and the combined mass of the
pink, green, and yellow boxes is grams. Determine all possibilities for
the individual masses of the boxes.