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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.
- a)57 kg
- b)54 kg
- c)56 kg
- d)60 kg
- e)58 kg
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average weight of four boys A, B, C, and D is 75 kg. The fifth boy...
Sum of the weight of A, B, C and D = 75 × 4 = 300 kg
and average weight of A, B, C, D and E = 71 kg
sum of the weight of A, B, C, D and E
= 71 × 5 = 355 kg
weight of E = 355 – 300 = 55 kg
weight of F = 55 + 6 = 61 kg
Now, average weight of F, B, C, D and E = 72 kg
Sum of the weight of F, B, C, D and E = 72 × 5 = 360 kg
B + C + D = 360 – 55 – 61 = 244 kg.
Weight of A = 300 – 244 = 56 kg.
Most Upvoted Answer
The average weight of four boys A, B, C, and D is 75 kg. The fifth boy...
Explanation:
Given Information:
- Average weight of A, B, C, and D = 75 kg
- When E is included, the average weight decreases by 4 kg
- Weight of F = Weight of E + 6 kg
- Average weight decreases by 3 kg when A is replaced by F, making the new average weight 72 kg
Solution:
- Let the weight of A be x kg
- Total weight of A, B, C, and D = 4 * 75 = 300 kg
- Total weight of A, B, C, D, and E = 5 * 71 = 355 kg (as the average weight decreases by 4 kg)
- Total weight of E = 355 - 300 = 55 kg
- Weight of F = 55 + 6 = 61 kg
- Total weight of F, B, C, D, and E = 5 * 72 = 360 kg (as the average weight decreases by 3 kg)
- Total weight of B, C, D, E = 360 - 61 = 299 kg
- Total weight of B, C, D = 299 - 55 = 244 kg
- Average weight of B, C, D = 244 / 3 = 81.33 kg
- Since the average weight of B, C, and D is 75 kg, their total weight = 3 * 75 = 225 kg
- Weight of A = 300 - 225 = 75 kg
Therefore, the weight of A is 56 kg (option c).
Given Information:
- Average weight of A, B, C, and D = 75 kg
- When E is included, the average weight decreases by 4 kg
- Weight of F = Weight of E + 6 kg
- Average weight decreases by 3 kg when A is replaced by F, making the new average weight 72 kg
Solution:
- Let the weight of A be x kg
- Total weight of A, B, C, and D = 4 * 75 = 300 kg
- Total weight of A, B, C, D, and E = 5 * 71 = 355 kg (as the average weight decreases by 4 kg)
- Total weight of E = 355 - 300 = 55 kg
- Weight of F = 55 + 6 = 61 kg
- Total weight of F, B, C, D, and E = 5 * 72 = 360 kg (as the average weight decreases by 3 kg)
- Total weight of B, C, D, E = 360 - 61 = 299 kg
- Total weight of B, C, D = 299 - 55 = 244 kg
- Average weight of B, C, D = 244 / 3 = 81.33 kg
- Since the average weight of B, C, and D is 75 kg, their total weight = 3 * 75 = 225 kg
- Weight of A = 300 - 225 = 75 kg
Therefore, the weight of A is 56 kg (option c).
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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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer?
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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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer?.
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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 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.a)57 kgb)54 kgc)56 kgd)60 kge)58 kgCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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