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Answer :
To solve this problem, we need to determine the weight of the man based on the information provided about the average weights.
Understanding the Given Information:
- The average weight of 25 kids is given as 24 kg.
- Therefore, the total weight of the 25 kids is [tex]25 \times 24 = 600 \text{ kg}[/tex].
New Average with the Man Included:
- After including the man's weight, the average weight increases by 2 kg, making the new average [tex]24 + 2 = 26 \text{ kg}[/tex].
- The new group has 26 people (25 kids + 1 man).
- Therefore, the total weight for 26 people is [tex]26 \times 26 = 676 \text{ kg}[/tex].
Calculating the Man's Weight:
- Subtract the total weight of the kids from the new total weight with the man included: [tex]676 - 600 = 76 \text{ kg}[/tex].
Thus, the weight of the man is [tex]76 \text{ kg}[/tex]. Therefore, the correct answer is option C) 76 kg.
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