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 48​, find the number of gold medals won by each.

Answer 1

Korea = 15

Italy = 16

France = 17

Explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17