High School

The average weight of 25 kids is 24 kg. If the weight of a man is included, then the average weight increases by 2 kg. The weight of the man is:

A) 50 kg
B) 75 kg
C) 76 kg
D) 84 kg

Answer :

To solve this problem, we need to determine the weight of the man based on the information provided about the average weights.

  1. 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].
  2. 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].
  3. 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.