In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 21, find the number of gold medals won by each.

The answer would be:

Korea: 6

Italy: 7

France: 8

6, 7, 8 are consecutive numbers because they go in the order that you would count from 1-x(an infinite number) with.

I hope this helped! If you have further questions don't be afraid to ask!

~Travis

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windyyork windyyork · Answer 2 · 2019-10-15T09:50:30+02:00

Answer: The number of gold medals are 6,7, and 8 respectively.

Step-by-step explanation:

Let the first three consecutive integers are

x, x+1, x+2

Sum = 21

According to question, we get that

[tex]x+x+1+x+2=21\\\\3x+3=21\\\\3x=21-3\\\\3x=18\\\\x=\dfrac{18}{3}\\\\x=6[/tex]

Hence, the number of gold medals won by Korea = 6

Number of gold medals won by France = 7

Number of gold medals won by Italy = 8

Hence, the number of gold medals are 6,7, and 8 respectively.

In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 21​, find the number of gold medals won by each.

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In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 21, find the number of gold medals won by each.