Sports competition, France won more medals than Italy who won more medals than Korea. The total number of medals won by three countries is three consecutive integers who sum is 37, find the number of medals won by each

France
Italy
Korea

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Let's assign variables to represent the number of medals won by each country:

Let's assume:
France won x medals
Italy won (x + 1) medals (since Italy won more medals than France)
Korea won (x + 2) medals (since Korea won more medals than Italy)

According to the information given, the sum of the medals won by these three countries is 37:

x + (x + 1) + (x + 2) = 37

Simplifying the equation:
3x + 3 = 37

Subtracting 3 from both sides:
3x = 34

Dividing both sides by 3:
x = 34 / 3

x ≈ 11.33

Since the number of medals must be a whole number, we can conclude that France won approximately 11 medals, Italy won approximately 12 medals, and Korea won approximately 13 medals.

Therefore, the number of medals won by each country is:
France: 11 medals
Italy: 12 medals
Korea: 13 medals