Question : The average age of 30 students is 20 years and the average age of 20 other students is 30 years. The average age of the total number of students is:
Option 1: 24 years
Option 2: 25 years
Option 3: 48 years
Option 4: 50 years
Correct Answer: 24 years
Solution :
The average age of 30 students = 20 years
Total age of 30 students = 30 × 20 = 600 years
The average age of 20 students = 30 years
Total age of 20 students = 20 × 30 = 600 years
Hence, average age of total number of students = $\frac{600+600}{30+20} = \frac{1200}{50}= 24$ years
Hence, the correct answer is 24 years.
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