Question

In a recent international sport​ competition, the top three countrieslong dash—country ​a, country​ b, and country clong dash—won a total of 127127 medals. country b won 1313 more medals than country

c. country a won 4141 more medals than the total amount won by the other two. how many medals did each of the top three countries​ win?

Answer 1

we need to build a system of equations:

a + b + c = 127......(1)
b - c = 13..............(2)
a - b - c = 41..........(3)

adding equations (1) and (3):-

2a = 168
a = 84
Substituting for in equation (1)-
84 + b + c = 127
b + c = 43...........(4)
Adding equations (2) and (4):-
2b = 56

b = 28
Finally from equation (2)
c = 28-13 = 15

Answer is Country a had 84 points , b had 28 points and c had 15 points.