In electrical circuits, the formula 1/R = (1/R1) + (1/R2) is used to find the total resistance R if two resistors and are connected in parallel. Given three resistors, A, B, and C, suppose that the total resistance is 48 ohms if A and B are connected in parallel, 80 ohms if B and C are connected in parallel, and 60 ohms if A and C are connected in parallel. Find the resistances of A, B, and C.

In electrical circuits, the formula 1/R = (1/R1) + (1/R2) is used to find the total resistance R if two resistors and are connected in parallel. Given three resistors, A, B, and C, suppose that the total resistance is 48 ohms if A and B are connected in parallel, 80 ohms if B and C are connected in parallel, and 60 ohms if A and C are connected in parallel. Find the resistances of A, B, and C.

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Question

In electrical circuits, the formula 1/R = (1/R₁) + (1/R₂) is used to find the total resistance R if two resistors and are connected in parallel. Given three resistors, A, B, and C, suppose that the total resistance is 48 ohms if A and B are connected in parallel, 80 ohms if B and C are connected in parallel, and 60 ohms if A and C are connected in parallel. Find the resistances of A, B, and C.

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