# A number theory problem by Jack Rawlin

Number Theory Level pending

You are told that a for a three digit number $$\overline{ABC}$$

$\overline{ABC} - \overline{CBA} = -198$

$\overline{ABC} + B = 327$

$D = (A + 2B + 3C) - 14$

Find $$\frac {\overline{DBAC}}{5}$$

Details and assumptions

1. $$\overline{ABC} = 100A + 10B + C$$

2. $$A$$, $$B$$, $$C$$ and $$D$$ are all positive integers under $$10$$.

3. $$A > 0$$

4. $$\frac{\overline{DBAC}}{5}$$ is an integer.

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