There is a whole number for which the following holds: if you put a 4 at the end of the number, and multiply the number you get in that way by 4, the result is equal to the number you get if you put a 4 in front of n. In other words, we are looking for the number you can put on the dots in the following equation:
4... = 4 � ...4
Hint: The number of dots in the question has nothing to do with the length of the number.
The Question: Which number must be put on the dots to get a correct equation?
If you get that one: If there is a 6 in the equation instead of a 4 (6... = 6 � ...6) which number must you then put on the dots to get a correct equation? Do not try this one unless you have a lot of time;)