4
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Arrange numbers 1 to 10 to the UP triangles, with rules :

  1. Rules
  2. (-) means absolute difference

Solve This:

Puzzle

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  • 1
    $\begingroup$ is the solution unique? $\endgroup$ – JonMark Perry Sep 4 '17 at 6:53
  • $\begingroup$ @JonMarkPerry ; Yes, it is unique. $\endgroup$ – Jamal Senjaya Sep 4 '17 at 6:59
  • $\begingroup$ I think there is no solution, could you check your triangle values and signs please? $\endgroup$ – Oray Sep 4 '17 at 7:14
  • $\begingroup$ @Oray : I just checked it, all values and signs are correct. $\endgroup$ – Jamal Senjaya Sep 4 '17 at 7:18
  • $\begingroup$ @JamalSenjaya F-G or it is absolute difference? $\endgroup$ – Oray Sep 4 '17 at 7:32
3
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My solution:

      10 
    2 * 5 
  8 / 4 - 9 
1 + 7 - 3 + 6 

The image version created with my awesome pinta skills.

Explanation:

J can only be 6, 8 or 10.
I started with j = 10 randomly.
this means H and I can be 2 and 5.
I put H =2 since it can be obtained from a fraction (8/4) and 5 cannot.
Obviously G = 9.
From here see if the rest of the numbers fit.

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  • $\begingroup$ "Sorry, I don't know how to hide formatted code." -- You can use <pre>, as you did, and then prepend every line in the block with the spoiler markup >!. $\endgroup$ – M Oehm Sep 4 '17 at 7:47
  • $\begingroup$ @MOehm. Thanks. I tried it but I think I missed the last one and that's why it didn't work. $\endgroup$ – Marius Sep 4 '17 at 7:49
  • $\begingroup$ Did you try 6, 8 and 10 afterwards? $\endgroup$ – boboquack Sep 4 '17 at 7:55
  • 2
    $\begingroup$ @boboquack. No. because the OP stated the solution is unique and I'm lazy. On top of that is Monday morning. I didn't feel like it. :) $\endgroup$ – Marius Sep 4 '17 at 7:56

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