## amc-2014-up-20

In this correctly worked addition, $$P$$, $$Q$$, $$R$$ and $$S$$ represent different digits, and all seven digits are different.

$\begin{array}{cccc} &5&P&+\\ &Q&R&\\\hline S&4&3\end{array} %speech%, 5 P plus Q R equals S 43$

What is the sum of $$P$$, $$Q$$, $$R$$ and $$S$$?