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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...
Given Information:
● 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.
To Find: Weight of A.
Solution:
Let's begin by finding the total weight of the five boys A, B, C, D, and E.
● Total weight of A, B, C, and D = 75 * 4 = 300 kg (as the average weight of four boys is 75 kg)
● Let's assume the weight of E as x kg.
●Total weight of A, B, C, D, and E = 300 + x kg (as E is the fifth boy)
Now, the average weight decreases by 4 kg when E is included. Therefore,
(300 + x)/5 = 75 - 4
=> (300 + x)/5 = 71
Solving the above equation, we get x = 55 kg (the weight of E)
We know that F's weight is 6 kg more than E's weight. Therefore, F's weight = 55 + 6 = 61 kg.
Now, the average weight decreases by replacing A with F. Therefore,
(300 - A + F)/5 = 72
Substituting the value of F, we get
(300 - A + 61)/5 = 72
=> 361 - A = 360
=> A = 361 - 360 = 1 kg
Therefore, the weight of A is 1 kg.
Hence, the correct answer is option (c) 56 kg.
● 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.
To Find: Weight of A.
Solution:
Let's begin by finding the total weight of the five boys A, B, C, D, and E.
● Total weight of A, B, C, and D = 75 * 4 = 300 kg (as the average weight of four boys is 75 kg)
● Let's assume the weight of E as x kg.
●Total weight of A, B, C, D, and E = 300 + x kg (as E is the fifth boy)
Now, the average weight decreases by 4 kg when E is included. Therefore,
(300 + x)/5 = 75 - 4
=> (300 + x)/5 = 71
Solving the above equation, we get x = 55 kg (the weight of E)
We know that F's weight is 6 kg more than E's weight. Therefore, F's weight = 55 + 6 = 61 kg.
Now, the average weight decreases by replacing A with F. Therefore,
(300 - A + F)/5 = 72
Substituting the value of F, we get
(300 - A + 61)/5 = 72
=> 361 - A = 360
=> A = 361 - 360 = 1 kg
Therefore, the weight of A is 1 kg.
Hence, the correct answer is option (c) 56 kg.
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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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