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
Solution
To solve this problem, we first need to find the weights of A, B, and C.
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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.
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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
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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
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Now we can find A's and C's weights:
a = b + 20 = 45 + 20 = 65 kgs c = b - 5 = 45 - 5 = 40 kgs
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We know that D weighs 2 kgs more than C, so D's weight is 40 + 2 = 42 kgs.
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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.
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