Triminós and equal sums

The 5 × 5 5\times 5 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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1 solution

Mark Hennings
May 10, 2018

The sum of all the numbers in the grid is 120 120 . Since there are 24 24 squares in the grid, each triomino must have numbers adding to 120 ÷ 8 = 15 120 \div 8 = 15 . Here is an arrangement that works.

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