Saturday, 13 December 2014

A Problem of Weights



           It was Mammu’s birthday and I decided to buy for her some sweets. There was an old woman in the candy shop. I noticed something very strange, while she was weighing out the sweets. She had just six weights and a balance scale. That’s all she had. With just this she was able to weigh any unit number of ounces of candy – right from 1 to 364.
 
Can you say what the six weights were?

Answer: 1, 3, 9, 27, 81, and 243. All powers of three.

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