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Select the correct answerThe average weight of A, B, C is 50 kgs weight of B is 20 kgs less than A’s weight and 5 kgs more than C’s weight. what will be the average weight of A, B, C and D. If D weights 2 kgs more than C?Options50kgs98 kgs46kgs48 kgs46 kgs

Question

Select the correct answerThe average weight of A, B, C is 50 kgs weight of B is 20 kgs less than A’s weight and 5 kgs more than C’s weight. what will be the average weight of A, B, C and D. If D weights 2 kgs more than C?Options50kgs98 kgs46kgs48 kgs46 kgs

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Solution

To solve this problem, we first need to find the weights of A, B, and C.

  1. We know that the average weight of A, B, and C is 50 kgs. This means that the total weight of A, B, and C is 50 kgs * 3 = 150 kgs.

  2. We also know that B's weight is 20 kgs less than A's weight and 5 kgs more than C's weight. Let's denote A's weight as a, B's weight as b, and C's weight as c. We can write two equations based on this information:

    a = b + 20 c = b - 5

  3. We can substitute these equations into the equation for the total weight:

    a + b + c = 150 (b + 20) + b + (b - 5) = 150 3b + 15 = 150 3b = 135 b = 45 kgs

  4. Now we can find A's and C's weights:

    a = b + 20 = 45 + 20 = 65 kgs c = b - 5 = 45 - 5 = 40 kgs

  5. We know that D weighs 2 kgs more than C, so D's weight is 40 + 2 = 42 kgs.

  6. Finally, we can find the average weight of A, B, C, and D:

    (a + b + c + d) / 4 = (65 + 45 + 40 + 42) / 4 = 192 / 4 = 48 kgs

So, the correct answer is 48 kgs.

This problem has been solved

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