# Numbers...without numbers?

Consider a positive four digit number, $$\overline{ABCD}$$.

Where:

$$A + B + C + D = \overline{AD}$$

C - B = A

$$\overline{AD} \times \overline{ DA} = \overline{ABCD}$$

What is number $$\overline{ABCD}$$ in its numerical representation?

Details and assumptions. Each letter represents one numerical digit. ABCD is positive. AD is equivalent to 10A +D, not AxD.

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