Another riddle:

A man loans his friend his only 40 pound weight to weight grain on a balance scale. A week later the friend brings back the weight broken into 4 pieces. However, the man is happier now, because he can now measure anything weighing 1 to 40 lbs. (Note: the measured weights are in whole numbers. So he cannot measure 1.5 pounds.) What are the weights of each piece?

A man loans his friend his only 40 pound weight to weight grain on a balance scale. A week later the friend brings back the weight broken into 4 pieces. However, the man is happier now, because he can now measure anything weighing 1 to 40 lbs. (Note: the measured weights are in whole numbers. So he cannot measure 1.5 pounds.) What are the weights of each piece?

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anonymousSpyder~Dan

anonymousSome other answers are posted online... but no NOT work:

1, 9, 10, and 20... you cannot get 3

1, 2, 8, and 29... you cannot get get 4

7, 8, 10, and 15... you cannot get 19

and

5, 7, 8, and 20... you cannot get 9

BTW a 121 pound weight broken into 5 pieces will give you every integer up to 121.

You'll need 1, 3, 9, 27, and 81

anonymous2, 5, 10, 20

but then i realized i cant get 38~40

anonymouspermutations and combinations of these weights on the the balance scale covers all even numbers from 2 to 40

once the right combos for the range 2 to 40 are determined the odd numbers fall in between so when the balance scales shift between two consecutive even numbers the odd # is determined

anonymousanonymous