Question 5
The number $N$ is a two-digit number with the following properties:
When $N$ is divided by $9,$ the remainder is $1.$ When $N$ is divided by $10,$ the remainder is $3.$
What is the remainder when $N$ is divided by $11?$
When $N$ is divided by $9,$ the remainder is $1.$ When $N$ is divided by $10,$ the remainder is $3.$
What is the remainder when $N$ is divided by $11?$