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And another math question for you...

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ghostwolf82

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21

Tuesday, May 14th 2013, 6:23pm

Quoted from "Djed;600926"

ABCD * 4 = DCBA

What are the numbers?


0 is the only number that makes this equation true. The reason sperle's answer isn't able to work is (he put the numbers in the wrong order, and) he is assuming 2178*4=8712... however using Operator Precedence in the correct order, this equation becomes A*B*C*D*4 = DCBA, and when you input zero, you get 0*0*0*0*4=0000

sperle

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Tuesday, May 14th 2013, 7:11pm

Quoted from "ghostwolf82;600944"

0 is the only number that makes this equation true. The reason sperle's answer isn't able to work is (he put the numbers in the wrong order, and) he is assuming 2178*4=8712... however using Operator Precedence in the correct order, this equation becomes A*B*C*D*4 = DCBA, and when you input zero, you get 0*0*0*0*4=0000

4 (2178) = 8712 for that to be true then the next be true 4(2bcd) = dcb2 and next is 4(2bc8) = 8cb2 then 4(21c8) = 8c12 then 4(2178) = 8712. no where did we say that this was a multiplication problem but more of a what does each # have to be to be equal on each side. always two ways to skin a cat :)
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ghostwolf82

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Tuesday, May 14th 2013, 8:58pm

You are using the wrong order of operations though to make your answer correct sperle. If you use PEMDAS, you have to multiply the letters to each other, leaving zero as the only correct answer. Implied multiplication is still multiplication. More than one way to skin a cat, but only one way to do math (or we could say 1 / 0 = blue, and be right).

Had he said "what numbers inserted here would make the answer become the inverse set of numbers", then you would be correct.

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Wednesday, May 15th 2013, 3:37am

I think we are both right. you are presuming that abcd is a*b*c*d. I am presuming abcd is 4 numbers together.
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ghostwolf82

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Wednesday, May 15th 2013, 9:26am

Quoted from "sperle;600994"

I think we are both right. you are presuming that abcd is a*b*c*d. I am presuming abcd is 4 numbers together.


No. He is trying to use a well known math "riddle", however he failed. Which means that it is as I have said now, the answer is zero. Had he used the full riddle, then you would be right.

The full riddle, which gives context (and makes you right), is:

If you multiply the four-digit number abcd by 4, the order of digits will be reversed. That is, abcd x 4 = dcba. The digits a, b,c and d are all different. The values are between 0-9 and each is different. Find abcd.


The only other way to go about this would be with Spacial Cognition, but I have a feeling almost no one here knows a thing about that, and also involves a LOT more equations to get to the answer down that rabbit hole.

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Wednesday, May 15th 2013, 9:35am

Quoted from "ghostwolf82;601014"

The full riddle, which gives context (and makes you right), is:

If you multiply the four-digit number abcd by 4, the order of digits will be reversed. That is, abcd x 4 = dcba. The digits a, b,c and d are all different. The values are between 0-9 and each is different. Find abcd.


I must admit that this is the way I read this one.

Please do keep these coming as I am enjoying them immensely - I managed your first 2 correctly, but I got 2178 for this one too. :D

sperle

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Wednesday, May 15th 2013, 1:05pm

Quoted from "ghostwolf82;601014"

No. He is trying to use a well known math "riddle", however he failed. Which means that it is as I have said now, the answer is zero. Had he used the full riddle, then you would be right.

The full riddle, which gives context (and makes you right), is:

If you multiply the four-digit number abcd by 4, the order of digits will be reversed. That is, abcd x 4 = dcba. The digits a, b,c and d are all different. The values are between 0-9 and each is different. Find abcd.


The only other way to go about this would be with Spacial Cognition, but I have a feeling almost no one here knows a thing about that, and also involves a LOT more equations to get to the answer down that rabbit hole.


Think you mean spatial and not sure how the use of space and time corralate to this but then again I'm just a computer geek who doesnt do any high function math any more :-)
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ghostwolf82

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Wednesday, May 15th 2013, 6:49pm

Glad you like them Kroagnon, and there will be more to come :)

sperle, yeah, was late/early after work, and somehow misspelled that. Basically has to do with spatial autocorrelation. Two answers in the system can have totally independent outcomes of similar value relative to their distance from the original point. When spatial autocorrelation happens, at least one of the underlying assumptions is invalid.

Again, showing how this applies here goes very far into a rabbit hole I do not care to travel down, just to show that he didn't use the correct riddle in the first place.
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