When $N$ is divided by $10$, the remainder is $a$. When $N$ is divided by $17$, the remainder is $b$. What is $N$ modulo $170$, in terms of

When \(N\) is divided by 10, the remainder is \(a\). When \(N\) is divided by 17, the remainder is \(b\). What is \(N\) modulo 170, in terms of \(a\) and \(b\)?  (Your answer should be in the form \(ra+sb\), where \(r\) and \(s\) are replaced by nonnegative integers less than 170.)