Solution to Puzzle #87: The Magic Triangle (Challenge Puzzle!)

A very happy new year to all readers and thank you for a wonderful response to the blog overall and this puzzle in specific. Last year people from exactly 100 different countries accessed these puzzles – thank you all!

This was a challenge puzzle, and instead of one, I decided to give away a gift to two people (please bear with me, that is coming separately in an e-mail!) – R. Ganesh (Tokyo) and Ashish Tutakne (Bangalore) in the new generation. I received very many correct solutions though that included Smiti Mittal, Muskaan Mittal, Aman Singla, Vinay Pahlajani, Suman Saraf, Gyora and Alok Kuchlous – thanks and well done!

The answer is that it can be done. Here are the complete set of answers (thanks to Alok Kuchlous for writing a program to do this!) – please read them for the triangle from top to bottom and left to right:

[0, 5, 9, 6, 3, 2, 1, 7, 4, 8] Sum: 14
[0, 9, 5, 2, 3, 6, 8, 4, 7, 1] Sum: 14
[1, 5, 7, 2, 6, 0, 8, 3, 4, 9] Sum: 13
[1, 6, 7, 5, 3, 4, 0, 9, 2, 8] Sum: 14
[1, 7, 5, 0, 6, 2, 9, 4, 3, 8] Sum: 13
[1, 7, 6, 4, 3, 5, 8, 2, 9, 0] Sum: 14
[8, 2, 3, 5, 6, 4, 1, 7, 0, 9] Sum: 13
[8, 2, 4, 9, 3, 7, 0, 5, 6, 1] Sum: 14
[8, 3, 2, 4, 6, 5, 9, 0, 7, 1] Sum: 13
[8, 4, 2, 7, 3, 9, 1, 6, 5, 0] Sum: 14
[9, 0, 4, 7, 6, 3, 1, 5, 2, 8] Sum: 13
[9, 4, 0, 3, 6, 7, 8, 2, 5, 1] Sum: 13

For a complete solution for children on how to arrive at the answer, please go to the following video:

Hope you all enjoyed the puzzle!

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