The average weight of the first 11 persons out of 12 is 95 kg. The 12th person’s weight is 33 kg more than the average weight of all 12 persons. What is the weight of the 12th person?
The average weight of the first 11 persons out of 12 is 95 kg. The 12th person’s weight is 33 kg more than the average weight of all 12 persons. What is the weight of the 12th person?
2 व्यक्तियों में से पहले 11 व्यक्तियों का औसत वजन 95 किलोग्राम है। 12वें व्यक्ति का वजन सभी 12 व्यक्तियों के औसत वजन से 33 किलोग्राम अधिक है। 12वें व्यक्ति का वजन है |
Detailed Solution & Logic
131 kg
Let the average weight of all 12 persons be $x$ kg.
Step 1: Total weight of first 11 persons
Average of first 11 = 95 kg
So, total weight = $11 \times 95 = 1045$ kg
Step 2: Weight of 12th person
Given: 12th person is 33 kg more than average of all 12
So,
12th weight = $x + 33$
Step 3: Total weight equation
Total of 12 persons:
$1045 + (x + 33) = 12x$
Step 4: Solve
$1078 + x = 12x$
$1078 = 11x$
$x = 98$
Step 5: 12th person weight
$x + 33 = 98 + 33 = 131$
Final Answer: 131 kg
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