There are in total Six cases possible - 1,2 ,3,4,6,12
Number of Golf Trees = 24
Number of Golf balls = 36
H.C.F [ Highest common factor] -
⇒ 24 = 2 * 2 * 2 * 3 * 1
⇒ 36 = 2 * 2 * 3 * 3 * 1
Case 1 ) Bag = 1 [ Total Golf trees = 24]
[ Golf trees = 36] [in each bag]
Case 2 ) Total Bags = 2
[Golf balls = 18]
[ Golf trees = 12] [in each bag]
Case 3 ) Total Bags = 3
Golf balls = 8
Golf trees = 10 [in each bag]
Case 4 ) Total Bags = 4
Golf balls = 9
Golf trees = 8 [in each bag]
Case 5 ) Total Bags = 6
Golf trees = 4
Golf balls = 6 [ in each bag ]
Case 6 ) Total Bags = 12
Golf balls = 3
Golf trees = 2 [ in each bag ]
Hence, There are in total Six cases possible - 1,2 ,3,4,6,12
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