Question
The average weight of 10 individuals in an organization is
50 kg. When two new members, Akash and Binny, join the organization, their weights being in the ratio of 15:16, the overall average weight rises by 2 kg. What is the weight difference between Akash and Binny?Solution
ATQ,
Total weight of 10 people = (50 × 10) = 500 kg
Total weight of 12 people = (52 × 12) = 624 kg
Total weight of ‘Akash’ and ‘Binny’ = (624 – 500) = 124 kg
Let the weight of ‘Akash’ and ‘Binny’ be ‘15x’ kg and ‘16x’ kg, respectively.
So, (15x + 16x) = 124
Or, 31x = 124
Or, x = 4
Therefore, required difference = (16x – 15x) = x = 4 kg
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