Question:
The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:
The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:
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Sum = Average × Number of terms
Updated On: Apr 21, 2026
- 80
- 84
- 88
- 90
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Define variables.
Let average weight of all 12 persons = \(x\) kg.
Then weight of 12th person = \(x + 22\) kg. Step 2: Find sum of weights of first 11 persons.
Average of 11 persons = 64 kg.
Sum of 11 persons = \(11 \times 64 = 704\) kg. Step 3: Express total sum of all 12 persons.
Total sum = \(704 + (x + 22) = 726 + x\). Step 4: Use average formula for 12 persons.
Average = \(\frac{726 + x}{12} = x\).
\(726 + x = 12x\).
\(726 = 11x\).
\(x = 66\). Step 5: Find weight of 12th person.
Weight = \(x + 22 = 66 + 22 = 88\) kg.
Let average weight of all 12 persons = \(x\) kg.
Then weight of 12th person = \(x + 22\) kg. Step 2: Find sum of weights of first 11 persons.
Average of 11 persons = 64 kg.
Sum of 11 persons = \(11 \times 64 = 704\) kg. Step 3: Express total sum of all 12 persons.
Total sum = \(704 + (x + 22) = 726 + x\). Step 4: Use average formula for 12 persons.
Average = \(\frac{726 + x}{12} = x\).
\(726 + x = 12x\).
\(726 = 11x\).
\(x = 66\). Step 5: Find weight of 12th person.
Weight = \(x + 22 = 66 + 22 = 88\) kg.
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