In a gym Ram and Shyam weighing 46 and 52 kgs left the gym and instead two new members joined weighing 51 and 55 kgs. If the average weight of the gym members increases by one
fourth of a kg, then how many members are there in the gym?
Answers
Given : In a gym Ram and Shyam weighing 46 and 52 kgs left the gym and instead two new members joined weighing 51 and 55 kgs
the average weight of the gym members increases by one fourth of a kg,
To Find : how many members are there in the gym?
Solution:
Let say Members are in GYM = M
Average weight = A kg
Total Weight = AM kg
Ram and Shyam weighing 46 and 52 kgs left the gym
two new members joined weighing 51 and 55 kgs.
Hence new weight = AM - 46 - 52 + 51 + 55
= AM - 98 + 106
= AM + 8
New Mean = A + 1/4 kg
Members = M - 2 + 2 = M
new weight = (A + 1/4)M = AM + M/4 kg
AM + 8 = AM + M/4
=> 8 = M/4
=> M = 32
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