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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...
The Solution is as follows:
Let's assume the weight of boy E is x kg.
Step 1: Finding the sum of weights of A, B, C, and D
Given that the average weight of A, B, C, and D is 75 kg, we can write the equation:
(A + B + C + D)/4 = 75
Multiplying both sides by 4, we get:
A + B + C + D = 300
Step 2: Finding the sum of weights of A, B, C, D, and E
When boy E is included, the average weight decreases by 4 kg. So, the new average weight is 72 kg. We can write the equation:
(A + B + C + D + E)/5 = 72
Multiplying both sides by 5, we get:
A + B + C + D + E = 360
Step 3: Finding the weight of F
We are given that F's weight is 6 kg more than E's weight. So, the weight of F is (x + 6) kg.
Step 4: Finding the sum of weights of B, C, D, E, and F
When A is replaced by F, the average weight decreases by 4 kg. So, the new average weight is 72 kg. We can write the equation:
(B + C + D + E + F)/5 = 72
Substituting the value of F, we get:
(B + C + D + E + (x + 6))/5 = 72
Multiplying both sides by 5, we get:
B + C + D + E + (x + 6) = 360
Step 5: Solving the equations
We have two equations:
A + B + C + D = 300
B + C + D + E + (x + 6) = 360
Subtracting the first equation from the second equation, we get:
(B + C + D + E + (x + 6)) - (A + B + C + D) = 360 - 300
E + (x + 6) - A = 60
Simplifying the equation, we get:
E + x + 6 - A = 60
Rearranging the terms, we get:
E - A = 60 - (x + 6)
E - A = 54 - x
Since we know that E - A = 54 - x, and we are given that the average weight of A, B, C, D, and E is 72 kg, we can substitute the average weight into the equation:
72 = 54 - x
Simplifying the equation, we get:
x = 54 - 72
x = -18
Since the weight cannot be negative, this is not a valid solution. Therefore, we made an error in our calculations.
Step 6: Finding the weight of A (correctly)
Let's assume the weight of A is y kg.
We can rewrite the equation A + B + C + D = 300 as:
y + B + C + D = 300
We are given that the weight of
Let's assume the weight of boy E is x kg.
Step 1: Finding the sum of weights of A, B, C, and D
Given that the average weight of A, B, C, and D is 75 kg, we can write the equation:
(A + B + C + D)/4 = 75
Multiplying both sides by 4, we get:
A + B + C + D = 300
Step 2: Finding the sum of weights of A, B, C, D, and E
When boy E is included, the average weight decreases by 4 kg. So, the new average weight is 72 kg. We can write the equation:
(A + B + C + D + E)/5 = 72
Multiplying both sides by 5, we get:
A + B + C + D + E = 360
Step 3: Finding the weight of F
We are given that F's weight is 6 kg more than E's weight. So, the weight of F is (x + 6) kg.
Step 4: Finding the sum of weights of B, C, D, E, and F
When A is replaced by F, the average weight decreases by 4 kg. So, the new average weight is 72 kg. We can write the equation:
(B + C + D + E + F)/5 = 72
Substituting the value of F, we get:
(B + C + D + E + (x + 6))/5 = 72
Multiplying both sides by 5, we get:
B + C + D + E + (x + 6) = 360
Step 5: Solving the equations
We have two equations:
A + B + C + D = 300
B + C + D + E + (x + 6) = 360
Subtracting the first equation from the second equation, we get:
(B + C + D + E + (x + 6)) - (A + B + C + D) = 360 - 300
E + (x + 6) - A = 60
Simplifying the equation, we get:
E + x + 6 - A = 60
Rearranging the terms, we get:
E - A = 60 - (x + 6)
E - A = 54 - x
Since we know that E - A = 54 - x, and we are given that the average weight of A, B, C, D, and E is 72 kg, we can substitute the average weight into the equation:
72 = 54 - x
Simplifying the equation, we get:
x = 54 - 72
x = -18
Since the weight cannot be negative, this is not a valid solution. Therefore, we made an error in our calculations.
Step 6: Finding the weight of A (correctly)
Let's assume the weight of A is y kg.
We can rewrite the equation A + B + C + D = 300 as:
y + B + C + D = 300
We are given that the weight of
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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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