First, let's represent the given equation in terms of a single variable:
a + b + c + b + c + c + a + a = 18872a + 2b + 3c = 1887
Now, we'll divide the equation by 2:
a + b + 3c/2 = 943.5
From this equation, we can see that a, b, and c are integers, and we need to find their values which satisfy the equation a + b + 3c/2 = 943.5.
Since a, b, and c are integers, the only solution to this equation is when c = 2. Therefore, substituting c = 2 back into the equation, we get:
a + b + 3(2)/2 = 943.5a + b + 3 = 943.5a + b = 940.5
Since a and b are two different integers that sum up to 940.5, the only solution is a = 470 and b = 470.
Therefore, a + b + c = 470 + 470 + 2 = 942.
Therefore, a + b + c = 942.
First, let's represent the given equation in terms of a single variable:
a + b + c + b + c + c + a + a = 1887
2a + 2b + 3c = 1887
Now, we'll divide the equation by 2:
a + b + 3c/2 = 943.5
From this equation, we can see that a, b, and c are integers, and we need to find their values which satisfy the equation a + b + 3c/2 = 943.5.
Since a, b, and c are integers, the only solution to this equation is when c = 2. Therefore, substituting c = 2 back into the equation, we get:
a + b + 3(2)/2 = 943.5
a + b + 3 = 943.5
a + b = 940.5
Since a and b are two different integers that sum up to 940.5, the only solution is a = 470 and b = 470.
Therefore, a + b + c = 470 + 470 + 2 = 942.
Therefore, a + b + c = 942.