THE TORN NUMBER

I had the other day in my possession a label bearing the number `3\ 0\ 2\ 5` in large figures. This got accidentally torn in half, so that `30` was on one piece and `25` on the other, as shown on the illustration. On looking at these pieces I began to make a calculation, scarcely conscious of what I was doing, when I discovered this little peculiarity. If we add the `30` and the `25` together and square the sum we get as the result the complete original number on the label! Thus, `30` added to `25` is `55`, and `55` multiplied by `55` is `3025`. Curious, is it not? Now, the puzzle is to find another number, composed of four figures, all different, which may be divided in the middle and produce the same result.


Topics:
Number Theory Algebra -> Equations -> Diophantine Equations
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