Thursday, October 1, 2009

40 in the balance

Using a balance scale and four weights you must be able to balance any integer load from 1 to 40. How much should each of the four weights weigh?

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8 Comments:

Blogger Pawan said...

1 3 9 27

October 1, 2009 1:20 PM  
Blogger Chris said...

Hi Pawan. You got it right. Did you look that up or work it out?

October 1, 2009 1:54 PM  
Anonymous Anonymous said...

How do you get 11, 16?

October 1, 2009 3:04 PM  
Blogger Chris said...

11 = (9+3)-1, 16 = (27+1)-(9+3)

October 1, 2009 3:33 PM  
Blogger Knightmare said...

i almost got the answer,but then my brain broke.

October 1, 2009 8:54 PM  
Blogger Chris said...

Hi Knightmare. LOL. I'd seen the answer before posting. I'm not sure how I would have gone about solving it.

October 1, 2009 9:04 PM  
Anonymous Anonymous said...

I'm guessing by "subtracting" weights the user of the scale is actually setting the scale to recognize a certain weight (not 0) equal to 0?

October 1, 2009 11:37 PM  
Anonymous Elias said...

no.. subtracting is simply putting the weights on the other side. For 11: u put 9 and 3 on one side, and 11 and 1 on the other

October 2, 2009 2:44 AM  

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