Sum of three numbers is $132$. The first number is twice the second,and the third number is one-third of the first. Find the second number.

The sum of squares of two numbers is $68$ and the square of their difference is $36$. The product of the two numbers is

$\frac{3}{23}$ of $\frac{5}{12}$ of $1104 = ?$

In a two-digit number,the digit in the unit's place is $1$ more than twice the digit in the ten's place. If the digits in the unit's place and the ten's place are interchanged,the difference between the new number and the original number is $1$ less than the original number. What is the original number?

Find the simplified value of $63 \sqrt{(729)^{-\frac{2}{3}}+(343)^{-\frac{2}{3}}} ?$

In a division sum, the divisor is $10$ times the quotient and $5$ times the remainder. What is the dividend, if the remainder is $46$?