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Some number fun

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Mefiante
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« Reply #15 on: March 17, 2011, 16:22:59 PM »

Answer: 555
Correct.  Just to be sure, what’s 7 ○ 4 ○ 9?

Anyone else worked it out?

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benguela
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« Reply #16 on: March 17, 2011, 16:26:29 PM »

Just to be sure, what’s 7 ○ 4 ○ 9?

863
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Deezil
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« Reply #17 on: March 17, 2011, 16:32:00 PM »

Ag nee bliksem ... this last one is killing me!
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Mefiante
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« Reply #18 on: March 17, 2011, 16:44:08 PM »

Okay, that clinches it.  You’ve got it.

Perhaps you’d like to try your hand at one that’s rather trickier:

If
        1 ○ 3 ○ 7 → 2195
        2 ○ 6 ○ 9 → 7841
        4 ○ 8 ○ 3 → 6129
        6 ○ 7 ○ 4 → 6433
        7 ○ 4 ○ 9 → 7514
then
        2 ○ 4 ○ 6 → ?

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« Reply #19 on: March 17, 2011, 17:11:29 PM »

Please explain previous one ... PM (or spoiler tag) is fine ... I'm beginning to pull my hair out
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Mefiante
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« Reply #20 on: March 17, 2011, 17:17:11 PM »

The previous one in Reply #18 might well give you sleepless nights.   If so, try this instead for relief:

If
        1 ○ 3 ○ 7 → 353
        2 ○ 9 ○ 8 → 595
        4 ○ 8 ○ 5 → 193
        6 ○ 7 ○ 4 → 119
        7 ○ 4 ○ 6 → 239
then
        3 ○ 5 ○ 7 → ?

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Mefiante
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« Reply #21 on: March 17, 2011, 17:33:32 PM »

PM (or spoiler tag)
I don’t think the forum software supports spoiler tags, but I may be wrong.  I sent you a PM just in case.

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Lurkie
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« Reply #22 on: March 17, 2011, 18:54:58 PM »

Quote
If
        1 ○ 3 ○ 7 → 353
        2 ○ 9 ○ 8 → 595
        4 ○ 8 ○ 5 → 193
        6 ○ 7 ○ 4 → 119
        7 ○ 4 ○ 6 → 239
then
        3 ○ 5 ○ 7 → ?


3 ○ 5 ○ 7 → 371
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Mefiante
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« Reply #23 on: March 17, 2011, 19:23:56 PM »

3 ○ 5 ○ 7 → 371
Correct.  Well done for getting it so quickly!

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Rigil Kent
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« Reply #24 on: March 17, 2011, 20:30:57 PM »

Bloody nora, Lurkie! I was planning on working on it over Easter Weekend so as to impress the socks off everyone first thing in May. Respect!

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Mefiante
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« Reply #25 on: March 17, 2011, 20:54:36 PM »

Well, you can do that anyway if you like.  For everyone but Lurkie, what does 6 ○ 1 ○ 9 yield in the scheme of Reply #20?

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Lurkie
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« Reply #26 on: March 18, 2011, 09:26:03 AM »

Quote
Bloody nora, Lurkie! I was planning on working on it over Easter Weekend so as to impress the socks off everyone first thing in May. Respect!

Thanks Mintaka! Smiley Do the puzzle anyway. It is mathematically elegant. I'm never mad about problems that involve stuff like modular arithmetic - don't like throwing parts of numbers away.
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Lurkie
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« Reply #27 on: March 21, 2011, 14:48:30 PM »

Quote
        1 ○ 3 ○ 7 → 2195
        2 ○ 6 ○ 9 → 7841
        4 ○ 8 ○ 3 → 6129
        6 ○ 7 ○ 4 → 6433
        7 ○ 4 ○ 9 → 7514
then
        2 ○ 4 ○ 6 → ?

Mefiante, this puzzle was a SOB. I tried the usual combinations of addition, subtraction, multiplication, inverses then graduated to powers, factorials, Laplace transforms and Lagragian multipliers (ok, not the last two!)

Finally,
2 ○ 4 ○ 6 → 4148

Didn't like having to throw some numbers away ...

I sound like I'm complaining, but I'm not. Thoroughly enjoyed the chase, despite some head-bashing moments!

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Mefiante
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« Reply #28 on: March 21, 2011, 14:54:50 PM »

Correct again, well done!  Anyone else?  Wink

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Rigil Kent
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« Reply #29 on: March 21, 2011, 18:06:31 PM »

Anyone else?  Wink

Nope ... I have now finally embraced the new and somewhat less agonizing passtime of sticking roasting forks in my legs.  Cry

ETA: .... but just for interest, is there an elegant way of solving these chestnuts, or is inspection and a keen eye the only hope? They look a bit like simultaneous equations, and its almost as if they beg to be solved in a similar manner ... but, of course, they are not equations at all.

Mintaka
« Last Edit: March 21, 2011, 18:41:42 PM by Mintaka » Logged
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