The average weight of a group of 12 children is 66 kg. If 2 children, X and Y replace A and B, the new average weight becomes 65 kg. The weight of A is equal to the weight of B and the weight of X is equal to the weight of Y. Another child, C, is included in the group, and the new average weight remains 65 kg. The weight of C is equal to the weight of X. Find the weight of A.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 71 kg.
As per the given question
⇒ 2A - 2X = (66 - 65) × 12
⇒ A - X = 12/2
⇒ A - X = 6.....(1)
Another child, C, is included in the group, and the new average weight remains 65 kg
Thus, the weight of C = 65 kg
And, the weight of X = 65 kg
Thus, the weight of A = 65 + 6 = 71 kg [from eq 1]