The average age of $30$ students of a class is $12$ years. The average age of a group of $5$ is $10$ years and that of another group of $5$ is $14$ years. What is the average age of the remaining students ?

12

years

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10

years

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8

years

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14

years

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Solution

The correct option is A $12$ years
Required average =
$\frac{30 \times 12 - (5 \times 10 + 5 \times 14)}{20}$
$= \frac{240}{20} = 12$ years

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The average age of 30 students of a class is 12 years. The average age of a group of 5 is 10 years and that of another group of 5 is 14 years. What is the average age of the remaining students ?

The correct option is A 12 yearsRequired average = 30×12−(5×10+5×14)20=24020=12 years

The average age of $30$ students of a class is $12$ years. The average age of a group of $5$ is $10$ years and that of another group of $5$ is $14$ years. What is the average age of the remaining students ?

The correct option is A $12$ years
Required average =
$\frac{30 \times 12 - (5 \times 10 + 5 \times 14)}{20}$
$= \frac{240}{20} = 12$ years