The average weight of three men A,B and C is 84 kg.D joins them and the average weight of the four becomes 80kg.If E whose weight is 3 kg more than D, replaces A, the average weight of B,C,D and E becomes 79 kg.the weight of A is:70 kg72 kg80 kg75 kg
Question
The average weight of three men A,B and C is 84 kg.D joins them and the average weight of the four becomes 80kg.If E whose weight is 3 kg more than D, replaces A, the average weight of B,C,D and E becomes 79 kg.the weight of A is:70 kg72 kg80 kg75 kg
Solution 1
Let's solve this step by step:
-
The average weight of A, B, and C is 84 kg. This means the total weight of A, B, and C is 84 kg * 3 = 252 kg.
-
When D joins them, the average weight becomes 80 kg. This means the total weight of A, B, C, and D is 80 kg * 4 = 320 kg.
-
Therefore, the weight of D can be calculated as 320 kg (total weight of A, B, C, and D) - 252 kg (total weight of A, B, and C) = 68 kg.
-
E's weight is 3 kg more than D, so E weighs 68 kg + 3 kg = 71 kg.
-
When E replaces A, the average weight of B, C, D, and E becomes 79 kg. This means the total weight of B, C, D, and E is 79 kg * 4 = 316 kg.
-
Therefore, the weight of A can be calculated as 320 kg (total weight of A, B, C, and D) - 316 kg (total weight of B, C, D, and E) = 4 kg.
So, the weight of A is 4 kg. However, this option is not given in the choices. There seems to be a mistake in the question or the options provided.
Solution 2
Let's solve this step by step:
-
The average weight of A, B, and C is 84 kg. This means the total weight of A, B, and C is 84 kg * 3 = 252 kg.
-
When D joins them, the average weight becomes 80 kg. This means the total weight of A, B, C, and D is 80 kg * 4 = 320 kg.
-
Therefore, the weight of D is 320 kg - 252 kg = 68 kg.
-
E, whose weight is 3 kg more than D, replaces A. So, the weight of E is 68 kg + 3 kg = 71 kg.
-
Now, the average weight of B, C, D, and E is 79 kg. This means the total weight of B, C, D, and E is 79 kg * 4 = 316 kg.
-
Since B, C, and D's total weight is 252 kg - A's weight + D's weight = 252 kg - A's weight + 68 kg, and the total weight of B, C, D, and E is 316 kg, we can set up the equation 252 kg - A's weight + 68 kg = 316 kg - 71 kg.
-
Solving for A's weight, we get A's weight = 252 kg + 68 kg - 316 kg + 71 kg = 75 kg.
So, the weight of A is 75 kg.
Similar Questions
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
A, B, C and D are four friends, each of whom weighs less than 100 kg. From amongst them they form a group and find the total weight of that group. If the sum of the total weights of all possible distinct groups, each having the same number of members as in the first is 882 kg, then what is the average weight of the four friends?1 point41.75 kg63.5 kg73.5 kgnone of these
The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg is replaced by a new man. The weight of the new man is:Options :56 kg58 kg62 kg76 kg
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:
The average weight of four boys A, B, C, and D is 75 kg. The fifth boy E is included and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 72 kg. Find the weight of A. 57 kg 54 kg 56 kg 60 kg
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.