Question : The average of 30 numbers is 40 and that of the other 40 numbers is 30. The average of all the numbers is:
Option 1: $34\frac{2}{7}$
Option 2: $35$
Option 3: $34$
Option 4: $34.5$
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Correct Answer: $34\frac{2}{7}$
Solution :
The sum of 30 numbers = 30 × 40 = 1200
The sum of 40 numbers = 30 × 40 = 1200
An average of 70 numbers is
$=\frac{1200+1200}{30+40}=\frac{2400}{70}=34\frac{2}{7}$
Hence, the correct answer is $34\frac{2}{7}$.
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