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The average weight of A, B and C is 72 kg. When D joins them, the new average becomes 68 kg. When E joins, A, B, C and D, the average of all five becomes 70 kg. What is the weight of E?
- a)78 kg
- b)80 kg
- c)84 kg
- d)85 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average weight of A, B and C is 72 kg. When D joins them, the new ...
The average weight of A, B, C and D = 68 kg
The average weight of A, B, C, D and E = 70 kg
So the answer = 70 × 5 – 68 × 4 = 78 kg
Hence, Option A is correct.
The average weight of A, B, C, D and E = 70 kg
So the answer = 70 × 5 – 68 × 4 = 78 kg
Hence, Option A is correct.
Most Upvoted Answer
The average weight of A, B and C is 72 kg. When D joins them, the new ...
Average Weight of A, B, and C
The average weight of individuals A, B, and C is given as 72 kg.
- Therefore, the total weight of A, B, and C can be calculated as follows:
- Total weight (A + B + C) = Average weight × Number of individuals
- Total weight (A + B + C) = 72 kg × 3 = 216 kg
Inclusion of D
When individual D joins A, B, and C, the new average weight becomes 68 kg.
- The total number of individuals now is 4 (A, B, C, D).
- The new total weight (A + B + C + D) can be calculated:
- Total weight (A + B + C + D) = Average weight × Number of individuals
- Total weight (A + B + C + D) = 68 kg × 4 = 272 kg
Finding the Weight of D
To find the weight of D, we subtract the total weight of A, B, and C from the total weight of A, B, C, and D.
- Weight of D = Total weight (A + B + C + D) - Total weight (A + B + C)
- Weight of D = 272 kg - 216 kg = 56 kg
Inclusion of E
When E joins A, B, C, and D, the average weight of all five becomes 70 kg.
- The total number of individuals is now 5 (A, B, C, D, E).
- The new total weight (A + B + C + D + E) is:
- Total weight (A + B + C + D + E) = Average weight × Number of individuals
- Total weight (A + B + C + D + E) = 70 kg × 5 = 350 kg
Calculating the Weight of E
Now, we can find the weight of E by subtracting the total weight of A, B, C, and D from the total weight of A, B, C, D, and E.
- Weight of E = Total weight (A + B + C + D + E) - Total weight (A + B + C + D)
- Weight of E = 350 kg - 272 kg = 78 kg
Thus, the weight of E is 78 kg.
Correct answer is option 'A'.
The average weight of individuals A, B, and C is given as 72 kg.
- Therefore, the total weight of A, B, and C can be calculated as follows:
- Total weight (A + B + C) = Average weight × Number of individuals
- Total weight (A + B + C) = 72 kg × 3 = 216 kg
Inclusion of D
When individual D joins A, B, and C, the new average weight becomes 68 kg.
- The total number of individuals now is 4 (A, B, C, D).
- The new total weight (A + B + C + D) can be calculated:
- Total weight (A + B + C + D) = Average weight × Number of individuals
- Total weight (A + B + C + D) = 68 kg × 4 = 272 kg
Finding the Weight of D
To find the weight of D, we subtract the total weight of A, B, and C from the total weight of A, B, C, and D.
- Weight of D = Total weight (A + B + C + D) - Total weight (A + B + C)
- Weight of D = 272 kg - 216 kg = 56 kg
Inclusion of E
When E joins A, B, C, and D, the average weight of all five becomes 70 kg.
- The total number of individuals is now 5 (A, B, C, D, E).
- The new total weight (A + B + C + D + E) is:
- Total weight (A + B + C + D + E) = Average weight × Number of individuals
- Total weight (A + B + C + D + E) = 70 kg × 5 = 350 kg
Calculating the Weight of E
Now, we can find the weight of E by subtracting the total weight of A, B, C, and D from the total weight of A, B, C, D, and E.
- Weight of E = Total weight (A + B + C + D + E) - Total weight (A + B + C + D)
- Weight of E = 350 kg - 272 kg = 78 kg
Thus, the weight of E is 78 kg.
Correct answer is option 'A'.
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