Question 2
Find the number of five-digit positive integers, $n,$ that satisfy the following conditions:
• the number $n$ is divisible by $5,$
• the first and last digits of $n$ are equal, and
• the sum of the digits of $n$ is divisible by $5.$
• the number $n$ is divisible by $5,$
• the first and last digits of $n$ are equal, and
• the sum of the digits of $n$ is divisible by $5.$