The Culprit
A maths professor was an eye-witness to a bank robbery. Everything happened very quickly but she was able to remember the number on the robber's T-shirt When she got home, she wrote down the number. She also wrote down some clues about the number. She then gave the clues to her maths students to see if they could work out the number.
Can you work it out too, from the following dues?
It's an odd number.
It has 4 digits
3497
It is divisible by both 3 and 9
1
When it is divided by 21 there is no remainder.
All the digits are different
The total of the first two digits is double the total of the last two
digits
The number is between 2999 and 5000
