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Weighing VIII.


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12 replies to this topic

#11 Kend0g187

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Posted 22 March 2008 - 03:07 PM

Here's another way of explaining how to find the solution:

Start with 1. Sum the total of your weights + the next number you need. Repeat.

Example:

1
Total of your weights: 1
Next number you need: 2
1+2=3

1,3
Total of your weights: 4
Next number you need: 5
4+5=9

1,3,9 ...

if you keep all the weights on one side of the scale, you need 9 different weights. 1, 2, 2, 6, 11, 11, 33, 55

You said 9, you listed 8, and you only need 7:

1,2,4,8,16,32,64
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#12 jab

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Posted 24 April 2008 - 09:23 PM

Spoiler for Equation for series in solution

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#13 Baywolfe

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Posted 14 July 2008 - 08:28 PM

We're talking about Ordinals here. What numbers (weights) do you need to add up to every number between 1 and 121?

The answer is 7: 1, 2, 4, 8, 12, 32, & 64
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