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36 boys in a class weigh 42 kg on an average. If their teacher is included
The average increases by 1.5kg. How much does the teacher weigh?
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You are given
= 42. (1) (where S is the sum of weights of the 36 boys.
"36 boys in a class weigh 42 kg on an average.")
You are also given
= 42 + 1.5 = 43.5. (2) (where T is the teacher weight.)
From (1), S = 36*42 = 1512. (3)
From (2), S + T = 37*43.5 = 1609.5. (4)
Distract (3) from (4) to get the answer: T = 97.5 kg is the teacher weight.