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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?

 Jun 18, 2022
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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

 Jun 18, 2022

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