The average weight of 24 students is 35
kgs. If the weight of teacher is added the average
in creased by 400 gms. What is the weight of the
teacher ?

Question

The average weight of 24 students is 35 kgs. If the weight of teacher is added the average in creased by 400 gms. What is the weight of the teacher ?

Answer

Given Data:
- Average weight of 24 students = 35 kgs
- Increase in average weight when teacher's weight is added = 400 gms

Calculating the total weight of 24 students:
- Total weight of 24 students = Average weight * Number of students
- Total weight of 24 students = 35 kgs * 24 = 840 kgs

Calculating the new average weight:
- Let the weight of the teacher be x kgs
- New total weight = Total weight of students + Weight of teacher
- New total weight = 840 kgs + x kgs
- New average weight = (Total weight of students + Weight of teacher) / (Number of students + 1)
- New average weight = (840 + x) / 25

Given:
- Increase in average weight when teacher's weight is added = 400 gms
- 400 gms = 0.4 kgs

Equation:
- New average weight - Old average weight = 0.4
- (840 + x) / 25 - 35 = 0.4
- (840 + x) / 25 = 35.4
- 840 + x = 25 * 35.4
- x = 885 - 840
- x = 45 kgs

Conclusion:
- The weight of the teacher is 45 kgs.

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