Question

The average age of 6 students is 11 years. If two more students of age 14 and 16 years join, their average will become

• A. $13$ years
• B. $12$ years
• C. 12$\frac{1}{2}$ years
• D. 11$\frac{1}{2}$ years

Answer 1

Answer: (B)

$12$ years

$\Rightarrow$ The average age of $6$ students is $11$ years.

$\therefore$ Sum of age of $6$ students $=6\times 11=66$

$\Rightarrow$ When two more students of age $14$ and $16$ added to $6$ students then, total students will become $8$

$\Rightarrow$ Sum of age of $8$ students $=66+14+16=96$

$\therefore$ Required average $=\frac{96}{8}=12years$