# 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

\(\overline{ABC} = 100A + 10B + C\)

\(A\), \(B\), \(C\) and \(D\) are all positive integers under \(10\).

\(A > 0\)

\(\frac{\overline{DBAC}}{5}\) is an integer.