The average of five numbers is $26$. The average of the first two numbers is $30$ and the average of the last two numbers is $7$. What is the third number?

The average speed of a bus is $8$ times the average speed of a bike. The bike covers a distance of $186 \mathrm{km}$ in $3$ hour. How much distance will the bus cover in $10$ hour?

What will be the average of the following set of scores (Rounded off to the nearest integer)?

$46,54,62,68,56,29,58$

The ratio of ducks to frogs in a pond is $37:39$ respectively. The average number of ducks and frogs in the pond is $152$. What is the number of frogs in the pond?

The average of five positive numbers is $213$. The average of the first two numbers is $233.5$ and the average of last two numbers is $271$. What is the third number?

The average weight of $40$ students in a class is $55 \mathrm{kg}$. $6$ of them whose average weight is $52 \mathrm{kg}$ left the class and another set of $6$ students whose average weight is $42 \mathrm{kg}$, joined the class. What is the new average weight (in kg) of the class?