Arrange numbers 1 to 10 to the UP triangles, with rules :
- (-) means absolute difference
Solve This:
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8
asked Sep 4, 2017 at 6:11
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1$\begingroup$ is the solution unique? $\endgroup$– JMPCommented Sep 4, 2017 at 6:53
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$\begingroup$ @JonMarkPerry ; Yes, it is unique. $\endgroup$– Jamal SenjayaCommented Sep 4, 2017 at 6:59
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$\begingroup$ I think there is no solution, could you check your triangle values and signs please? $\endgroup$– OrayCommented Sep 4, 2017 at 7:14
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$\begingroup$ @Oray : I just checked it, all values and signs are correct. $\endgroup$– Jamal SenjayaCommented Sep 4, 2017 at 7:18
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$\begingroup$ @JamalSenjaya F-G or it is absolute difference? $\endgroup$– OrayCommented Sep 4, 2017 at 7:32
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1 Answer
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4
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 OehmCommented Sep 4, 2017 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. $\endgroup$– MariusCommented Sep 4, 2017 at 7:49
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$\begingroup$ Did you try 6, 8 and 10 afterwards? $\endgroup$ Commented Sep 4, 2017 at 7:55
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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. :) $\endgroup$– MariusCommented Sep 4, 2017 at 7:56