The board consists of eight trominoes of either type in the picture, with its central cell blackened.
Is it possible that the sum of the numbers on each tromino is the same?
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The sum of all the numbers in the grid is 1 2 0 . Since there are 2 4 squares in the grid, each triomino must have numbers adding to 1 2 0 ÷ 8 = 1 5 . Here is an arrangement that works.