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The average weight of A, B and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight of B (in kg) is: radio_button_unchecked 17 radio_button_unchecked 20 radio_button_unchecked 26 radio_button_unchecked 31

Question

The average weight of A, B and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight of B (in kg) is:

radio_button_unchecked 17

radio_button_unchecked 20

radio_button_unchecked 26

radio_button_unchecked 31

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Solution

To solve this problem, we can use the given information to set up a system of equations and solve for B's weight.

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

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

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

Now, if we add the total weights of A and B and B and C, we get 80 kg + 86 kg = 166 kg. This is the total weight of A, B, B, and C.

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

So, B's weight is 166 kg - 135 kg = 31 kg.

Therefore, the correct answer is:

radio_button_unchecked 17

radio_button_unchecked 20

radio_button_unchecked 26

radio_button_checked 31

This problem has been solved

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