John : i have some less than 100 metal balls of identical shape, size and weight.
Peter : carry on
John : i have placed them in three identical but different bags. can you tell me how many balls are there in that green bag.
Peter : of course i can't.
John : product of number of balls in three idividual bags equals 72.
Peter : I see, still not enough. any more clue ?
John : well, total number of balls in the three bags is the number of books in that bookshelf of mine.
Peter : let me see now .... sorry, still i don't know.
John : the green bag weighs the heaviest.
Peter : there you are. now i know how many balls are there in the green bag.
Can you tell me how many?Puzzle before Long Weekend
carvaka posted Re:Puzzle before Long Weekend on 3 mnths ago
8
Of all the possibilities, 3x3x8 and 2x6x6 both add up to 14. So that's why he couldn't tell with the number of books that he could count. Of those two, there is no "heaviest" bag in 2x6x6, so it has to be 3x3x8.
carvaka posted Re:Puzzle before Long Weekend on 3 mnths ago
If it's that, Peter should be able to tell that that's the combination right after the number of books clue, because no other set of factors adds up to 74.
Of all the possibilities, 3x3x8 and 2x6x6 both add up to 14. So that's why he couldn't tell with the number of books that he could count. Of those two, there is no "heaviest" bag in 2x6x6, so it has to be 3x3x8.
no?
i have placed them in three identical but different bags. can you tell me how many balls are there in that green bag