Upgrade to Chess.com Premium!

Solve this Riddle if you can


  • 11 months ago · Quote · #681

    Gil-Gandel

    FakeName6 wrote:

    Good job ajttja and Gil-Gandel! And I'm glad you guys got the same thing as me. Pretty good for a 14-year-old?

    Yes, not really a riddle but a genuine piece of math.

    An apothecary has a set of balance scales and the following weights: 1g, 3g, 9g and 27g. How many different weights can he weigh (clumsy sentence but I'm short of synonyms) with this equipment?

  • 11 months ago · Quote · #682

    ajttja

    i don't understand the question but i know there some reason the you have the weights being 3 to the 0, 3 to the first, 3squared,  and 3cubed so i get some credit.

  • 11 months ago · Quote · #683

    LoekBergman

    40

  • 11 months ago · Quote · #684

    ajttja

    [COMMENT DELETED]
  • 11 months ago · Quote · #685

    06-jwagg

    In Gil-Gandel's problem the answer is any integer up to 40g.  If it balances with the 1g, it is one gram.  If it balances on the same side as the 1g while opposite the 3g, it is 2g.  3 and 4 are obvious, 5 balances 9 on one side with the 1 and 3 on the other.  This can be followed for any number up to 40.  For example, if the weight is 32g, it will balance with 27g and 9g on the opposite side, and 3g and 1g on the same side

  • 10 months ago · Quote · #686

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #687

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #688

    viper10091009

    the sign said H p z u u l q l

  • 10 months ago · Quote · #689

    Gil-Gandel

    Nothing - signs can't talk.

  • 10 months ago · Quote · #690

    Gil-Gandel

    06-jwagg wrote:

    In Gil-Gandel's problem the answer is any integer up to 40g.  If it balances with the 1g, it is one gram.  If it balances on the same side as the 1g while opposite the 3g, it is 2g.  3 and 4 are obvious, 5 balances 9 on one side with the 1 and 3 on the other.  This can be followed for any number up to 40.  For example, if the weight is 32g, it will balance with 27g and 9g on the opposite side, and 3g and 1g on the same side

    Yes, and you can extend this indefinitely with powers of 3 (as ajttja realized).

  • 10 months ago · Quote · #691

    LoekBergman

    Gil-Gandel wrote:
    06-jwagg wrote:

    In Gil-Gandel's problem the answer is any integer up to 40g.  If it balances with the 1g, it is one gram.  If it balances on the same side as the 1g while opposite the 3g, it is 2g.  3 and 4 are obvious, 5 balances 9 on one side with the 1 and 3 on the other.  This can be followed for any number up to 40.  For example, if the weight is 32g, it will balance with 27g and 9g on the opposite side, and 3g and 1g on the same side

    Yes, and you can extend this indefinitely with powers of 3 (as ajttja realized).

    I repeat the correct answer: he can weigh 40 different weights. :-)

    06-jwagg and ajttja gave the good explanations, though the wrong answers.

  • 10 months ago · Quote · #692

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #693

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #694

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #695

    ivandh

    It means the sign maker is an alcoholic and the person who bought the sign will be searching for someone else to do it in the future.

  • 10 months ago · Quote · #696

    winerkleiner

    Is the old man with a cat right?

  • 10 months ago · Quote · #697

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #698

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #699

    chesse_chames

    [COMMENT DELETED]
  • 10 months ago · Quote · #700

    chesse_chames

    [COMMENT DELETED]

Back to Top

Post your reply: