Challenge yourself! – Grades 4-6 (Divisible by 11 and 3)

If $A$ and $B$ represent digits, what is the biggest number of the form $72A96B48$ that is divisible by both $11$ and $3$ ?

For this problem, it will help to recall the divisibility rules for $11$ and $3$ .

The solution to the problem is given in a series of steps, each of which can be unlocked by a password. To unlock the first step, the password is the biggest number that is less than 100 that is divisible by both $11$ and $3$ .