Given that a*b + c = 160, where each of a, b and c are positive integers.

Determine the minimum value of a + b*c.

__Extra Challenge__: Solve this using only pen and paper.

**(a, b, c) = (26, 6, 4) .**

**Smin=50 .**

**P&P only .**

*Edited on ***September 17, 2013, 10:03 am**