Riddle: 40 pound weight?6 replies 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? New Member04 that doesnt sound right to me, I only say that because that combination would not allow you to weigh against an object that was two pounds. New Member12 yes it would... add a 3 pound weight to one side.. the one pound weight to the other... then add whatever your weighing with the one pound weight... when it balances the item your weighing is two pounds... ~Dan 1, 3, 9, and 27 is the only answer that works. Some 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 The weights are 4,6,12,22 permutations 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  Have a question? People are waiting to help. Related forum topics:
