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The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?
- a)31 kg
- b)28 kg
- c)32 kg
- d)30 kg
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The average weight of A, B and C is 45 kg. If the average weight of A ...
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.Free Test
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Community Answer
The average weight of A, B and C is 45 kg. If the average weight of A ...
To find the weight of B, we need to solve the given average weight equations.
Given:
Average weight of A and B = 40 kg
Average weight of B and C = 43 kg
Let's assume the weight of A, B, and C as a, b, and c, respectively.
Average weight of A, B, and C = (a + b + c)/3 = 45 kg ----(1)
Average weight of A and B = (a + b)/2 = 40 kg ----(2)
Average weight of B and C = (b + c)/2 = 43 kg ----(3)
Solving equations (2) and (3) simultaneously:
(a + b)/2 = 40 kg ----(2)
(b + c)/2 = 43 kg ----(3)
From equation (2), we get:
a + b = 80 kg ----(4)
From equation (3), we get:
b + c = 86 kg ----(5)
Adding equations (4) and (5):
(a + b) + (b + c) = 80 + 86
a + 2b + c = 166 ----(6)
Substituting the value of a + b from equation (4) into equation (6):
80 + c = 166
c = 166 - 80
c = 86 kg
Substituting the value of c into equation (5):
b + 86 = 86
b = 0 kg
Therefore, the weight of B is 0 kg.
None of the given options (A, B, C, D) provide the correct weight of B.
Given:
Average weight of A and B = 40 kg
Average weight of B and C = 43 kg
Let's assume the weight of A, B, and C as a, b, and c, respectively.
Average weight of A, B, and C = (a + b + c)/3 = 45 kg ----(1)
Average weight of A and B = (a + b)/2 = 40 kg ----(2)
Average weight of B and C = (b + c)/2 = 43 kg ----(3)
Solving equations (2) and (3) simultaneously:
(a + b)/2 = 40 kg ----(2)
(b + c)/2 = 43 kg ----(3)
From equation (2), we get:
a + b = 80 kg ----(4)
From equation (3), we get:
b + c = 86 kg ----(5)
Adding equations (4) and (5):
(a + b) + (b + c) = 80 + 86
a + 2b + c = 166 ----(6)
Substituting the value of a + b from equation (4) into equation (6):
80 + c = 166
c = 166 - 80
c = 86 kg
Substituting the value of c into equation (5):
b + 86 = 86
b = 0 kg
Therefore, the weight of B is 0 kg.
None of the given options (A, B, C, D) provide the correct weight of B.
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The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?a)31 kgb)28 kgc)32 kgd)30 kgCorrect answer is option 'A'. Can you explain this answer?
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