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  1.     
    #1
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    Default Puzzle -If you are good in maths

    [Caution] Enter Only if you are good in Maths!

    [Puzzle]: Breaks apart a 40KG stone into 4 pieces in such a way that using those 4 parts anyone can weight 1KG to 40KG each weights.
    Let me describe a little bit more....
    Suppose the 4 parts are: A, B, C and D
    So,
    A+B-C=1KG
    B+D-C=2KG
    A+D-B=3KG
    ...............
    ...............
    A+B+C+D=40KG

    So, what are the weights of those 4 pieces...??
    Note: All pieces are rounded-off in weights, like, each parts are in complete KGs and note in Grams...

    Hope you are good enough in maths....huh!

    I bet only a mastermind can solve this........

    [SOLVED-BY]: Nitish
    [ANSWER]: 1,3,9,27
    St0neF!sh Reviewed by St0neF!sh on . Puzzle -If you are good in maths Caution] Enter Only if you are good in Maths! : Breaks apart a 40KG stone into 4 pieces in such a way that using those 4 parts anyone can weight 1KG to 40KG each weights. Let me describe a little bit more.... Suppose the 4 parts are: A, B, C and D So, A+B-C=1KG B+D-C=2KG A+D-B=3KG ............... Rating: 5

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  3.     
    #2
    Teh GFX Whore! ^.^
    Everytime we gotta use 4 stones only or we can use fewer also?

    Edit: nevermind, figured it out.
    1,3,9,27.


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  4.     
    #3
    Member
    I dont think the question is written out very well...
    Unless I just simply don't understand it.

    "Breaks apart a 40KG stone into 4 pieces in such a way that using those 4 parts anyone can weight 1KG to 40KG each weights."

    Well, that's not right for a start. If one of those 4 pieces weigh 40KG, then where are the other 3? lol
    Can't A B C and D all be 10KG's making 40KG ?

    I don't know, I just don't get it.

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  5.     
    #4
    Teh GFX Whore! ^.^
    Quote Originally Posted by Ashleyuk1984 View Post
    I dont think the question is written out very well...
    Unless I just simply don't understand it.

    "Breaks apart a 40KG stone into 4 pieces in such a way that using those 4 parts anyone can weight 1KG to 40KG each weights."

    Well, that's not right for a start. If one of those 4 pieces weigh 40KG, then where are the other 3? lol
    Can't A B C and D all be 10KG's making 40KG ?

    I don't know, I just don't get it.
    Its common sense that none of them can be 40kg or anything over 37kg also.
    You gotta make 4 such weights so that if you add or subtract any weight then you can get any weight from 1-40kg. Try with the answer which i supplied above.

    ---------- Post added at 10:44 PM ---------- Previous post was at 10:42 PM ----------

    Quote Originally Posted by torrfriend View Post
    A = 6.285
    B = 10.571
    c = 15.857
    D = 7.285
    All of them have to be integer weights. Also, if you disregard this rule, you cannot get 2KG out of these weights ( and many more. I just checked for 2).


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  6.     
    #5
    Member
    A = 6.285 (i.e) A = 44/7
    B = 10.571
    c = 15.857
    D = 7.285 (i.e) D = 51/7

    EDIT:
    Fully solved in paper

    So, what are the weights of those 4 pieces...??
    Note: All pieces are rounded-off in weights, like, each parts are in complete KGs and note in Grams...
    A = 6.285 ~~ 6
    B = 10.571 ~~ 11
    c = 15.857 ~~ 16
    D = 7.285 ~~ 7

    may be i am wrong in rounding off



    Note:
    Even i checked in calculator, value i correct, so round off may wrong



    For checking in calculator:
    take 4 x 4 linear equation

    (equation 1) => 1A +1B -1C +0D = 1
    (equation 2) => 0A +1B -1C +1D = 2
    (equation 3) => 1A -1B +0C +1D= 3
    (equation 4) => 1A +1B +1C +1D = 40

  7.     
    #6
    Member
    All of them have to be integer weights. Also, if you disregard this rule, you cannot get 2KG out of these weights ( and many more. I just checked for 2).
    i roundoff'ed the value

  8.     
    #7
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    A+B+C+D=40

    A+D-B=3
    B+D-C=2
    A+B-C=1

    So,

    A+C-2B=1
    D=1+A
    B=2A-2
    C=B+D-2=3A-3

    B+C+D=6A-4

    7A-4=40
    .. 7A=44

    Didn't do any proper math for last 10 years But it doesn't go any other way for me

    If Nitish is correct. Then

    A=1
    B=6
    C=9
    D=27

    Then, A+B-C=-2 (That is wrong!)
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  9.     
    #8
    Member
    1,3,9,27

    ...i may have just copy/paste that

  10.     
    #9
    Member
    Website's:
    GoogleStore.org
    Puzzle solved by: Nitish

  11.     
    #10
    Member
    1,3,9,27 is wrong

    it doesn't satisfy all equations

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