When N is divided by 10, the remainder is a. When N is divided by 13, the remainder is b. If a = 5 and b = 6, what is N modulo 130?
N mod 10 ==5
N mod 13 ==6
LCM(10,13) ==130
N==130m + 45, where m=0, 1, 2, 3.......etc.
When m=1, N ==130 + 45 ==175
175 mod 130 ==45