Weigh Up TO 40

Weigh Anything Up To Forty. A large set of balance scales, like those shown, has several weights.

One of them is 40kg. One day this mass was dropped and split into three pieces. One of the operators happened to notice that she could use the three pieces to find the weight of anything from 1kg to 40kg (whole numbers only). What is the mass of each of the three pieces?


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