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In a club there are 12 wrestlers. When a wrestler whose weight is 90 kg leaves the club, he is replaced by a new wrestler then the average weight of this 12 member club increases by 0.75 kg. What is the weight (in kg) of the new wrestler who joined the club?

In a club there are 12 wrestlers. When a wrestler whose weight is 90 kg leaves the club, he is replaced by a new wrestler then the average weight of this 12 member club increases by 0.75 kg. What is the weight (in kg) of the new wrestler who joined the club? Correct Answer 99

Given:

Number of wrestlers = 12

A wrestler of 90 kg weight leaves.

A new wrestler is replaced.

Average weight of 12 members increases by 0.75 kg

Formula used:

Average weight = Total weight/Total number of people

Calculation:

Let the weight of the new wrestler be x kg

Let the average weight of all the 12 wrestlers initially be y kg

So, we get:

12y – 90 + x = 12 × (y + 0.75)

⇒ x = 99 

∴ The weight of the new wrestler who joined the club is 99 kg

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