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A Neat Little Problem

Tear up a piece of paper into 9 pieces. Write the digits 1 to 9 on a piece of paper, one digit per piece. Now rearrange the bits of paper to form three 3-digit numbers, such that the sum of the two smaller numbers equals the larger. There is more than one solution. How many solutions are there altogether?

Rex Boggs
rex@cq-pan.cqu.edu.au

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