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The average age of a class is 15 years, 20 new students with an average age of 14 years join the class, there by decreasing the average by 4 months. Find the original strength of the class ?
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The average age of a class is 15 years, 20 new students with an averag...
Original Strength of the Class Calculation
- Let the original strength of the class be x.
- The sum of ages of all students in the class before new students join = 15x
- After 20 new students join, the total sum of ages of all students becomes 15x + 20*14
- The new average age of the class = (15x + 20*14) / (x + 20) = 15 - 4/12 = 14.8 years

Calculation of Original Strength of the Class
- 15x + 280 = 14.8(x + 20)
- 15x + 280 = 14.8x + 296
- 0.2x = 16
- x = 80
Therefore, the original strength of the class was 80 students.
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The average age of a class is 15 years, 20 new students with an average age of 14 years join the class, there by decreasing the average by 4 months. Find the original strength of the class ?
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