Brain Teasers Forum: No. 20 - Brain Teasers Forum

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#1 User is offline   rookie1ja Icon

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Posted 31 March 2007 - 04:54 PM

No. 20 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.

(J+O+I+N+T)*(J+O+I+N+T)*(J+O+I+N+T) = JOINT



Spoiler for Solution:
No. 20 - solution
(1+9+6+8+3)*(1+9+6+8+3)*(1+9+6+8+3) = 19683

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#2 User is offline   kenaniah Icon

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Posted 31 August 2007 - 06:34 PM

If different letters could be the same number, 17576 also works. Interestingly, the cube root of 19683 and 17576 are 27 and 26, respectively.
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#3 User is offline   maps157 Icon

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Posted 15 March 2008 - 10:15 PM

very clever :)
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#4 User is offline   mcgranam Icon

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Posted 15 May 2008 - 06:41 AM

There might be a technicality against this but 00000, 00001, 00512, 04913, and 05832 should also fit the criteria.
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#5 User is offline   sparx Icon

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Posted 15 May 2008 - 03:52 PM

i think all the other ones that work wouldnt if it said no 2 letters are the same. im not sure if this is implied.
the reason they are the cube roots as some1 said is because this can be re-writen as (j+o+i+n+t)3 = JOINT
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#6 User is offline   profiler Icon

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Post icon  Posted 13 June 2008 - 08:01 PM

View Postmcgranam, on May 15 2008, 12:41 AM, said:

There might be a technicality against this but 00000, 00001, 00512, 04913, and 05832 should also fit the criteria.



No technicality, the numbers only add to three digits not five, you would have to enter the zeroes yourself which would defeat the point, the numbers have to fit you can not put them where you wish
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#7 User is offline   SwimGod Icon

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Post icon  Posted 24 November 2008 - 05:30 PM

View Postrookie1ja, on Mar 31 2007, 05:54 PM, said:

No. 20 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.

(J+O+I+N+T)*(J+O+I+N+T)*(J+O+I+N+T) = JOINT



Spoiler for Solution:
No. 20 - solution
(1+9+6+8+3)*(1+9+6+8+3)*(1+9+6+8+3) = 19683


This is a good one!
Can you expand the solution more?
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