Positive integer N leaves same remainder 35 when divided by both 2009 & 2010. What is remainder if N is divided by 42?

Question

A positive integer N leaves the same remainder of 35 when divided by both 2009 and 2010.

What is the remainder when N is divided by 42?

Answer 1

35 the positive integer seems 2009*2010+35 WHEN DIVIDED BY 42 LEAVES REMAINDER OF 35