Question : The average of 20 numbers is 30 and that of the other 30 numbers is 50. What is the average of all the numbers?
Option 1: 42
Option 2: 47
Option 3: 44
Option 4: 45
Correct Answer: 42
Solution :
Total numbers = 20 + 30 = 50
Average = $\frac{(20×30)+(30×50)}{20+30}$
= $\frac{600+1500}{50}$
= $\frac{2100}{50}$
= $42$
Hence, the correct answer is 42.
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