# arrange numbers 1 to 10 to the triangles

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

1. (-) means absolute difference

Solve This:

• is the solution unique?
– JMP
Commented Sep 4, 2017 at 6:53
• @JonMarkPerry ; Yes, it is unique. Commented Sep 4, 2017 at 6:59
• I think there is no solution, could you check your triangle values and signs please?
– Oray
Commented Sep 4, 2017 at 7:14
• @Oray : I just checked it, all values and signs are correct. Commented Sep 4, 2017 at 7:18
• @JamalSenjaya F-G or it is absolute difference?
– Oray
Commented Sep 4, 2017 at 7:32

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.

• "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 >!. Commented Sep 4, 2017 at 7:47
• @MOehm. Thanks. I tried it but I think I missed the last one and that's why it didn't work. Commented Sep 4, 2017 at 7:49
• Did you try 6, 8 and 10 afterwards? Commented Sep 4, 2017 at 7:55
• @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. :) Commented Sep 4, 2017 at 7:56