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Distribute the barrel...

CA CS CIMA Prakash Somani (Landmark Group) (23502 Points)

02 September 2008

there are 21 barrels (7 full,7half full and 7 empty)with a farmer..he wishes to divide them among his three sons such that all the three will have the same number of full barrels,same number of half barrels and same number of empty barrels....how will he distribute to his three sons?

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Originally posted by :CA Prakash
"	there are 21 barrels (7 full,7half full and 7 empty)with a farmer..he wishes to divide them among his three sons such that all the three will have the same number of full barrels,same number of half barrels and same number of empty barrels....how will he distribute to his three sons?	"

One full barrel should be made half full by making an empty barrel half full. In this way, there will be 6 full, 9 half full and 6 empty barrels.

Each son will get 2 full, 3 half full and 2 empty barrels.

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Amresh Choudhary (M.Sc. (Maths) MBA LLB (DU)) (694 Points)
Replied 02 September 2008

I hae several answer to this questions ......

1) Get 7 full barrels and pour half of each barrel to the 7 empty barrels. Then it will be like 21 half barrels. That can be divided easily, 7 each

2) Get 4 full barrels and 4 empty barrels and pour half of each full barrels to each empty barrels so that it will make 8 more empty barrels. That counts 3 full barrels, 15 half barrels and 3 empty barrels. Divide them between the 3 so that each of them will be having 1 full barrel, 5 half barrels and 1 empty barrel.

3) Make 2 more full barrels using 4 half barrels (pour one half to another half barrel. The same way make 2 full barrels). Then there will be 2 remaining empty barrels. That counts 9 full barrels, 3 half barrels and 9 empty barrels. Divide them between the 3. So each of them will be having 3 full barrels, 1 half barrel and 3 empty barrels.

4) Okey then one more.....

Get 1 full barrel and pour half of it to 1 empty barrel. That makes 2 more half barrels. All together there are 6 full barrels, 9 half barrels, 6 empty barrels and each will be having 2 full barrels, 3 half barrels and 2 empty barrels..

Try ....................all the possible combinations..........there might be more...........i have only these.............can anyone suggest more...........????