avg age of 20 teachers is 80 kg if the weight of the principal included the average decreases by 1 kg what is the weight of principal
Answers
Solution:-
Given, The average weight of 20 teachers is 80kg
The weight of 20 teachers = 20×80 = 1600kg
As given that, principal was included
It decreases by 1 kg in average weight
So, The average weight of 21 teachers is 79kg
The weight of 21 teachers = 79×21 = 1659 kg
Now, Old average weight of teachers is 80kg
New average weight of teachers is 1659 kg
So, The weight of the principal = Old Average weight - New average weight = 1659-1600kg = 59kg.
Hence, Proved
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Given :
The average weight of 20 teachers is 80 kg.
So Total weight of 20 teachers is 1600 kg.
- If the the principal included the average weight decreases by 1 kg.
So the average weight of 20 teachers and the principal is 79 kg.
Now the the total weight of 20 teachers and the principal = (20 + 1) × 79 = 1659 kg.
The weight of the principle = 1659 - 1600
= 59 kg.