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The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P is
- a)75
- b)82
- c)45
- d)98
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average weight of 3 students P,Q and R is 84kg.Anothe students S j...
Let P, Q, R, S, T represent their respective weights. Then,
P + Q + R = (84 x 3) = 252 kg, P + Q + R + S = (80 x 4) = 320 kg.
S = (320 - 252) kg = 68 kg, Q = (68 + 3) kg = 71 kg.
Q + R + S + T = (79 x 4) = 316 kg
Now, (P + Q + R + S) - (Q + R + S + T) = (320 - 316) kg = 4 kg.
P - T = 4
P = (4 + Q)
= 75 kg.
Most Upvoted Answer
The average weight of 3 students P,Q and R is 84kg.Anothe students S j...
Answer – A)75 Explanation : P+Q+R = 84*3 = 252
P+Q+R+S = 4*80 = 320
S = 320 – 252 = 68
Q+R+S+T = 79*4 = 316
Q+R+2S+3 = 316
S =68, Q+R =177
P = 252 – 177 = 75
P+Q+R+S = 4*80 = 320
S = 320 – 252 = 68
Q+R+S+T = 79*4 = 316
Q+R+2S+3 = 316
S =68, Q+R =177
P = 252 – 177 = 75
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Community Answer
The average weight of 3 students P,Q and R is 84kg.Anothe students S j...
Given information:
- The average weight of 3 students P, Q, and R is 84 kg.
- Another student S joins the group and the average becomes 80 kg.
- Another man T, whose weight is 3 kg more than that of S, replaces P.
- The average weight of Q, R, S, and T becomes 79 kg.
Approach:
1. Let's assume the weight of student P is x kg.
2. According to the given information, the average weight of P, Q, and R is 84 kg. So, the total weight of P, Q, and R is 3 * 84 = 252 kg.
3. Another student S joins the group and the average becomes 80 kg. So, the total weight of P, Q, R, and S is 4 * 80 = 320 kg.
4. Now, let's consider the weight of S as y kg. Therefore, the total weight of P, Q, R, and S is x + y + 252 kg.
5. According to the given information, the average weight of Q, R, S, and T is 79 kg. So, the total weight of Q, R, S, and T is 4 * 79 = 316 kg.
6. As per the given information, the weight of T is 3 kg more than that of S. So, the weight of T is y + 3 kg.
7. Therefore, the total weight of Q, R, S, and T is (x + y + 252) + (y + 3) = 316 kg.
Calculation:
Now, we can solve the above equation to find the values of x and y.
x + y + 252 + y + 3 = 316
2y + x + 255 = 316
2y = 316 - x - 255
2y = 61 - x
y = (61 - x)/2
Substituting the value of y in the equation (x + y + 252) + (y + 3) = 316, we get:
(x + (61 - x)/2 + 252) + ((61 - x)/2 + 3) = 316
(2x + 61 - x + 504) + (61 - x + 6) = 632
2x + 61 - x + 61 - x + 6 + 504 = 632
2x - x - x + 2x = 632 - 61 - 61 - 6 - 504
2x - 2x - 2x = 632 - 61 - 61 - 6 - 504
0 = 0
Since the equation 0 = 0 is always true, it means that the equation is satisfied for any value of x and y. Therefore, there is no unique solution for the values of x and y.
Conclusion:
Based on the given information and calculations, we cannot determine the weight of student P. Hence, the weight of P cannot be determined from the given data.
- The average weight of 3 students P, Q, and R is 84 kg.
- Another student S joins the group and the average becomes 80 kg.
- Another man T, whose weight is 3 kg more than that of S, replaces P.
- The average weight of Q, R, S, and T becomes 79 kg.
Approach:
1. Let's assume the weight of student P is x kg.
2. According to the given information, the average weight of P, Q, and R is 84 kg. So, the total weight of P, Q, and R is 3 * 84 = 252 kg.
3. Another student S joins the group and the average becomes 80 kg. So, the total weight of P, Q, R, and S is 4 * 80 = 320 kg.
4. Now, let's consider the weight of S as y kg. Therefore, the total weight of P, Q, R, and S is x + y + 252 kg.
5. According to the given information, the average weight of Q, R, S, and T is 79 kg. So, the total weight of Q, R, S, and T is 4 * 79 = 316 kg.
6. As per the given information, the weight of T is 3 kg more than that of S. So, the weight of T is y + 3 kg.
7. Therefore, the total weight of Q, R, S, and T is (x + y + 252) + (y + 3) = 316 kg.
Calculation:
Now, we can solve the above equation to find the values of x and y.
x + y + 252 + y + 3 = 316
2y + x + 255 = 316
2y = 316 - x - 255
2y = 61 - x
y = (61 - x)/2
Substituting the value of y in the equation (x + y + 252) + (y + 3) = 316, we get:
(x + (61 - x)/2 + 252) + ((61 - x)/2 + 3) = 316
(2x + 61 - x + 504) + (61 - x + 6) = 632
2x + 61 - x + 61 - x + 6 + 504 = 632
2x - x - x + 2x = 632 - 61 - 61 - 6 - 504
2x - 2x - 2x = 632 - 61 - 61 - 6 - 504
0 = 0
Since the equation 0 = 0 is always true, it means that the equation is satisfied for any value of x and y. Therefore, there is no unique solution for the values of x and y.
Conclusion:
Based on the given information and calculations, we cannot determine the weight of student P. Hence, the weight of P cannot be determined from the given data.
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The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer?
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The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer?.
The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 3 students P,Q and R is 84kg.Anothe students S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q,R,S and T becomes 79 kg then the weight of P isa)75b)82c)45d)98Correct answer is option 'A'. Can you explain this answer?.
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