An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,
1.) The top three countries country A, country B, and country C won a total of 120 medals.
A + B + C = 120
2.) Country B won 11 more medals than country C
B = C + 11
3.) Country A won 38 more medals than the total amount won by the other two.
A = B + C + 38
A - 38 = B + C
Substitute the value of B+C form the last equation to the first equation,
A + A - 38 = 120
A = 79
Now, Substitue the value of A and B(from second equation) in the first equation,
79 + C + 11 + C = 120
C = 15
Now, substitute the value of C in the second equation,
B = C + 11
B = 15 + 11
B = 26
Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.
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