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### Puzzle

An elephant and a tiger were carrying full sacks on their backs. The elephant started complaining that his load was too heavy. The tiger said to him "Why are you complaining? If you gave me one of your sacks I'd have double what you have and if I give you one of my sacks we'd have an even amount." How many sacks were each of them carrying? Give the minimal possible answer.

### View Solution

Lets assume that the elephant was carrying E sacks and the tiger was carrying T sacks.
As the tiger told the elephant, "If you gave me one of your sacks I'd have double what you have."
T + 1 = 2 * (E-1)
T + 1 = 2E - 2
T = 2E - 3
The tiger also said, "If I give you one of my sacks we'd have an even amount."
T - 1 = E + 1
T = E + 2
Comparing both the equations,
2E - 3 = E + 2
E = 5
Substituting E=5 in any of above equation, we get T=7
Hence, the elephant was carrying 5 sacks and the tiger was carrying 7 sacks.

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