Question 3
Three friends in year 9, Jan, Kate and Lee, sit in that order in the same row at assembly. Each row in the assembly hall has 30 seats numbered 1 to 30.
There are $3n$ year 9 lockers. They are arranged in three rows and numbered left to right from 1 to $n$ in the top row, $n+1$ to $2n$ in the middle row, and $2n+1$ to $3n$ in the bottom row.
The three friends' lockers are located like this:
The girls notice that Kate's assembly seat number divides each of their locker numbers. What is Kate's seat number?
There are $3n$ year 9 lockers. They are arranged in three rows and numbered left to right from 1 to $n$ in the top row, $n+1$ to $2n$ in the middle row, and $2n+1$ to $3n$ in the bottom row.
The three friends' lockers are located like this:
The girls notice that Kate's assembly seat number divides each of their locker numbers. What is Kate's seat number?