Harder Mathematical Problems

## Elegant Equation ★★★

There is a whole number *n* for which the following holds:
if you put a 4 at the end of *n*, 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

**The question**:
Which number must be put on the dots to get a correct equation**?**

**The answer**:
Click here!

**Another question**:
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**?**

**Another answer**:
Click here!