This question reminds me of Sudoku I used to enjoy playing.
To start with the first number, I decided to start with the number in the center. I picked 5 as my first tray-on number for the center number since it's the middle number among 1-9. Since now the middle number is determined to be 5, we know that A,D & B,C should be from the following numbers,
15-5=10
1,9
2,8
3,7
4,6
Then I tried to put 9 on the upper right corner then realized that it won't work since the number is too big that there won't be so many options left for other spots in the square. Then I tried to put 9 in the middle spot on the top row, then I solved the whole squre.
See below,
Good work! Hurray!!
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