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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.
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: The weight of A.
Solution:
Let's first find the sum of weights of A, B, C, and D using their average weight:
Sum of weights of A, B, C, and D = 75 kg x 4 = 300 kg
Now, let's find the sum of weights of all five boys using the new average weight:
Sum of weights of A, B, C, D, and E = 72 kg x 5 = 360 kg
We know that the replacement of A with F caused a decrease in the average weight by 3 kg (from 75 kg to 72 kg). This means that F weighs 3 kg less than A:
Weight of F = Weight of A - 3
Also, we know that the weight of F is 6 kg more than E:
Weight of F = Weight of E + 6
Using these two equations, we can find the weight of E in terms of A:
Weight of E + 6 = Weight of A - 3
Weight of E = Weight of A - 9
Now, we can substitute the value of Weight of E in terms of A in the sum of weights equation:
Weight of A + Weight of B + Weight of C + Weight of D + Weight of E = 360 kg
Weight of A + Weight of B + Weight of C + Weight of D + (Weight of A - 9) = 360 kg
2 x Weight of A + Weight of B + Weight of C + Weight of D = 369 kg
Finally, we can use the sum of weights of A, B, C, and D that we found earlier to solve for Weight of A:
2 x Weight of A + 300 kg = 369 kg
2 x Weight of A = 69 kg
Weight of A = 34.5 kg
However, the answer options are in whole numbers, so we need to round off the answer to the nearest whole number:
Weight of A ≈ 35 kg
Therefore, the weight of A is 35 kg, which is closest to 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: The weight of A.
Solution:
Let's first find the sum of weights of A, B, C, and D using their average weight:
Sum of weights of A, B, C, and D = 75 kg x 4 = 300 kg
Now, let's find the sum of weights of all five boys using the new average weight:
Sum of weights of A, B, C, D, and E = 72 kg x 5 = 360 kg
We know that the replacement of A with F caused a decrease in the average weight by 3 kg (from 75 kg to 72 kg). This means that F weighs 3 kg less than A:
Weight of F = Weight of A - 3
Also, we know that the weight of F is 6 kg more than E:
Weight of F = Weight of E + 6
Using these two equations, we can find the weight of E in terms of A:
Weight of E + 6 = Weight of A - 3
Weight of E = Weight of A - 9
Now, we can substitute the value of Weight of E in terms of A in the sum of weights equation:
Weight of A + Weight of B + Weight of C + Weight of D + Weight of E = 360 kg
Weight of A + Weight of B + Weight of C + Weight of D + (Weight of A - 9) = 360 kg
2 x Weight of A + Weight of B + Weight of C + Weight of D = 369 kg
Finally, we can use the sum of weights of A, B, C, and D that we found earlier to solve for Weight of A:
2 x Weight of A + 300 kg = 369 kg
2 x Weight of A = 69 kg
Weight of A = 34.5 kg
However, the answer options are in whole numbers, so we need to round off the answer to the nearest whole number:
Weight of A ≈ 35 kg
Therefore, the weight of A is 35 kg, which is closest to 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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