Correct Option (2)
The problem establishes a set of weight equivalencies, including: Weight of 6 boys (6B) = Weight of 4 women (4W).
It is given that the average weight of women is 63 kg. To determine the total weight of 4 women, the average weight is multiplied by the number of women:
Total weight of 4 women = 63 kg × 4 = 252 kg.
Based on the initial equivalency (6B = 4W), the total weight of 6 boys is equal to the total weight of 4 women. Therefore, the total weight of 6 boys is 252 kg.
To calculate the average weight of the boys, the total weight of 6 boys is divided by the number of boys:
Average weight of boys = 252 kg / 6 = 42 kg.
Incorrect Options:
Options 1 (40 kg), 3 (45 kg), and 4 (63 kg) are incorrect.
Option 4 (63 kg) represents the average weight of women, as provided in the question, and does not reflect the average weight of boys, which requires calculation based on the given equivalencies.
Options 1 (40 kg) and 3 (45 kg) are incorrect because they do not correspond to the average weight derived from the accurate application of the weight equivalencies and the given average weight of women. Any average weight other than 42 kg would imply a different total weight for 6 boys, which contradicts the established relationship with the total weight of 4 women.