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 33, find the number of gold numbers won by each.

Answer 1

Given

France won more gold medals than Italy and Italy won more gold medals than Korea.

total number of gold medals won by these three countries is three consecutive integers whose sum is 33

Find

number of gold numbers won by each.

Step-by-step explanation

Let smaller number be x

so , three consecutive numbers are x , x + 1 , x + 2

according to the question ,

`\begin{gathered} x+x+1+x+2=33 \\ 3x+3=33 \\ 3x=30 \\ x=10 \end{gathered}`

so , x = 10

x + 1 = 10 + 1 = 11

x + 2 = 10 + 2 = 12

Final Answer

Therefore ,

the number of golds won by korea = 10

the number of golds won by Italy = 11

the number of golds won by France = 12