The distance between two towns is $458 \mathrm{km}$. Two trains start from these two stations at the same time and travel towards each other at $45$ and $60 \mathrm{km}/\mathrm{hr}$. If in $x$ hours they will be $38 \mathrm{km}$ apart from each other, then find the value of $x$.

The sum of the digits of a two-digit number is $7$. If the digits are reversed, the number formed is $9$ less than the original number. Find the number.

The sum of the digits of a two-digit number is $10$. If we reverse the digits, the new number will be $54$ more than the original number. What is the original number?