In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of

Question

3 years ago

15

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 42, find the number of gold medals won by each.

Mathematics

2 answers:

worty [1.4K] · Answer 1 · 2022-06-02T20:55:03+03:00

Answer:

France = 15, Italy = 14, Korea = 13

Step-by-step explanation:

We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.

let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15