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
Solution
To solve this problem, we can use the given information to set up a system of equations and solve for B's weight.
-
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.
-
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.
-
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
Similar Questions
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:
Select the correct answerThe average weight of A, B and C is 84 kg. A fourth man D joins them andthe average weight four becomes 80 kg. If E whose is 3 kg more than D, replaces A, the average weight of B, C D and E becomes 79kg.The weight of A.Options9045958075
Select the correct answerConsider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now?radio_button_unchecked40.18radio_button_unchecked40.56radio_button_unchecked40.67radio_button_unchecked40.49
Directions for question 1: Select the correct alternative from the given choices.The average weights of three sections A, B and C in a school are 51 kg, 60 kg and 72 kg respectively. The average weight of sections A and B is 56 kg while that of sections B and C is 67 kg. Find the average weight of all the 3 sections.66 kg63 kg69 kg60 kg
The average weight of a class of 33 students is 47 kg. If the weight of the teacher is included, then the average weight of the class increases by 1 kg. What is the weight of the teacher?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.