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The average weight of A, B and C is “45 mg”. If the average weight of A and B be “40 mg” and that of B and C be “43 mg”, then the weight of B is:17 mg

Question

The average weight of A, B and C is 45 mg.

If the average weight of A and B be 40 mg and that of B and C be 43 mg, then the weight of B is: 17 mg

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Solution

Sure, let's solve this step by step:

  1. The average weight of A, B, and C is 45 mg. This means the total weight of A, B, and C is 45 mg * 3 = 135 mg.

  2. The average weight of A and B is 40 mg. This means the total weight of A and B is 40 mg * 2 = 80 mg.

  3. The average weight of B and C is 43 mg. This means the total weight of B and C is 43 mg * 2 = 86 mg.

  4. If we add the total weights of A and B and B and C, we get 80 mg + 86 mg = 166 mg. This is the total weight of A, B, B, and C.

  5. Since we know the total weight of A, B, and C is 135 mg, we can subtract this from the total weight of A, B, B, and C to find the weight of B.

So, B weighs 166 mg - 135 mg = 31 mg.

This problem has been solved

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