The Relationship between the T-Number and the T-Total

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The Relationship between the T-Number and the T-Total

The T-Total is the number that is derived from the sum of all numbers within a ‘T’ shape placed on a numbered grid.

The T-Number is the number at the bottom of the ‘T’

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I have been asked to find the relationship between the T-number and The T-Total and devise a formula to derive the T-Total from any given T-Number of any translation of the ‘T’ shape.

The grid below is 9*9 meaning that any number on the grid is nine less than the one below.  This means that the number above the T-Number will always be 9 less than it, it also means that the number two squares above the T-Number is 18 less and the two either side are 17 less and 19 less than the T-Number.

This means ...

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