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Step-by-step explanation:
Let's denote the value of B as x. According to the information provided:
1. A is 20% more than B:
A = x + 0.20x = 1.20x
2. B is 20% less than C:
B = C - 0.20C = 0.80C
Given that the sum of A, B, and C is 69, we can express this as an equation:
A + B + C = 69
1.20x + 0.80C + C = 69
1.20x + 1.80C = 69
Since A is 20% more than B, we can express A in terms of C:
1.20x = 1.20(0.80C) = 0.96C
Substitute 0.96C for 1.20x in the equation:
0.96C + 1.80C = 69
2.76C = 69
C = 69 / 2.76
C = 25
Therefore, the value of C is 25.