Sport competition. France won more gold medals than Italy who won more medals than Korea. Total number of gold medals won by three countries is three consecutive integers who sum is 27, find number won by each country

Question

Sport competition. France won more gold medals than Italy who won more medals than Korea. Total number of gold medals won by three countries is three consecutive integers who sum is 27, find number won by each country

France
Italy
Korea

Answer 1

Oh, so it's a competition between France, Italy, and Korea? Well, let's put on our clown shoes and solve this with a smile!

Let's call the number of gold medals won by Italy "x". Since France won more gold medals than Italy, let's say France won "x + 1" gold medals. And since Korea won fewer gold medals than Italy, let's say Korea won "x - 1" gold medals.

Now, we know that the total number of gold medals won by these three countries sums up to 27:

x + (x + 1) + (x - 1) = 27

If we simplify this equation, we get:

3x = 27

Dividing both sides by 3 gives us:

x = 9

So, Italy won 9 gold medals, France won 10 gold medals, and Korea won 8 gold medals.

Let's give a standing ovation for the winners! 🎉🏅🤡

Answer 2

Let's set up a system of equations to solve this problem.

Let's assume the number of gold medals won by France is x.
Since France won more gold medals than Italy, let's assume the number of gold medals won by Italy is x - 1.
Since Italy won more medals than Korea, let's assume the number of gold medals won by Korea is x - 2.

The total number of gold medals won by the three countries is 27, so we have the equation:

x + (x - 1) + (x - 2) = 27

Simplifying the equation:

3x - 3 = 27

Adding 3 to both sides:

3x = 30

Dividing both sides by 3:

x = 10

So, France won 10 gold medals, Italy won 9 gold medals, and Korea won 8 gold medals.

Therefore, the number of gold medals won by each country is:

France: 10
Italy: 9
Korea: 8

Answer 3

To find the number of gold medals won by each country, let's assign variables to represent the number of gold medals won by France, Italy, and Korea.

Let x represent the number of gold medals won by Italy.
Since France won more gold medals than Italy, we can assign the variable x + 1 to represent the number of gold medals won by France.
Since Italy won more medals than Korea, we can assign the variable x - 1 to represent the number of gold medals won by Korea.

According to the information given, the sum of the three consecutive integers is 27:
(x - 1) + x + (x + 1) = 27

Simplifying the equation, we have:
3x = 27

Dividing both sides of the equation by 3, we get:
x = 9

Now let's substitute the value of x back into our variables to find the number of gold medals won by each country:

France: x + 1 = 9 + 1 = 10 gold medals
Italy: x = 9 gold medals
Korea: x - 1 = 9 - 1 = 8 gold medals

Therefore, the number of gold medals won by each country is:
France: 10 gold medals
Italy: 9 gold medals
Korea: 8 gold medals

Answer 4

if the integers are x-1, x, and x+1 then 3x=27 and x=9.

Now it's easy.