If the sum and difference of two numbers are $20$ and $8$ respectively,then the difference of their squares is

$A$ fraction is greater than twice its reciprocal by $\frac{7}{15}$. What is the fraction?

If the sum of a number and its square is $182$,what is the number?

$A$ 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:

$\frac{(0.6^{3}-0.1^{3}-0.4^{3}-3 \times 0.6 \times 0.1 \times 0.4)}{(0.6^{2}+0.1^{2}+0.4^{2}+0.6 \times 0.1+0.6 \times 0.4-0.1 \times 0.4)}$

If $50$ is subtracted from two-third of a number,the result is equal to the sum of $40$ and one-fourth of that number. What is the number?