Question

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.

Answer 1

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

$x+x+1+x+2=21\\\\3x+3=21\\\\3x=21-3\\\\3x=18\\\\x=\dfrac{18}{3}\\\\x=6$

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.

Answer 2

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