Answer:
There are two solutions to the problem.
The numbers are 6732 and 2736.
Explanation:
36 = 4*9
The four digit number must be divisible by 4 AND by 9.
The last two digits must be divisible by 4. So only 2 and 6 are possible.
X732, X736.
X must be such that the four-digit number is divisible by 9.
7+3+2=12, so a 6 to make the sum of digits = 18, hence divisible by 9. So 6732 is divisible by 36.
7+3+6 = 16, so a 2 to make 2736 whose sum of digits = 18, hence the four digit number is divisible by 9. So 2736 is divisible by 36.
There are two solutions to the problem.
The numbers are 6732 and 2736.