The average weight of a group of 22 students increases by 1 kg when the weight of the teacher is also included. If the initial average weight of the group of 22 students was 31 kg, then what is the weight of the teacher?
Let the total weight of 22 students be A kg.
Given, $$\dfrac{A}{22} = 31$$
=> AÂ = 682 kg
If the weight of the teacher is also included, then average becomes 32 kg
Let the weight of the teacher be T kg
$$\dfrac{A+T}{23} = 32$$
=> $$A+T = 736$$
Substituting A = 682 in above equation
$$682+T = 736$$
=> $$T = 54$$
Therefore, Weight of the teacher = 54 kg.
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