How many numbers up to $500$ are divisible by $23$?

There are two numbers such that the sum of twice the first number and thrice the second number is $100$ and the sum of thrice the first number and twice the second number is $120$. Which is the larger number?

The unit digit in the sum $(124)^{372} + (124)^{373}$ is

The sum of the digits of a two-digit number is $8$. If the digits are reversed,the number is increased by $54$. Find the number.

The sum of two numbers is $25$ and their difference is $13$. Find their product.

The difference between the squares of two consecutive numbers is $35.$ The numbers are