Puzzles/Logic puzzles/Scales and Weights/Solution 1
Puzzles | Logic puzzles | Scales and Weights | Solution 1
Weights are: 1, 3, 9, 27
Explanation
[edit | edit source]You can put the weights on the other side of the balance, therefore subtracting some of the weight from the other side. Using this system the objects can be weighed thus:
1kg = 1kg
2kg = 3kg - 1kg
3kg = 3kg
...
39kg = 27kg + 9kg + 3kg
40kg = 27kg + 9kg + 3kg + 1kg