$A$ number consists of two digits such that the digit in the ten's place is less by $2$ than the digit in the unit's place. Three times the number added to $\frac{6}{7}$ times the number obtained by reversing the digits equals $108$. The sum of the digits in the number is:

In a division sum,the divisor $d$ is $10$ times the quotient $q$ and $5$ times the remainder $r$. If $r = 46$,the dividend will be:

Two baskets together have $640$ oranges. If $\frac{1}{5}$ of the oranges in the first basket are taken to the second basket,the number of oranges in both baskets becomes equal. The number of oranges in the first basket is:

How many $3$-digit numbers are completely divisible by $6$?

$(2+\sqrt{5})^{2}=?+4 \sqrt{5}$

The sum of four numbers is $64.$ If you add $3$ to the first number,$3$ is subtracted from the second number,the third is multiplied by $3,$ and the fourth is divided by $3,$ then all the results are equal. What is the difference between the largest and the smallest of the original numbers?