Positive integer n divided by 9,get remainder 7.What will be remainder if (3n-1) is divided by 9 ?

Given a positive integer ‘n’ is divided by 9 gives 7 as the remainder. Let ‘a’ be quotient, then, n = 9a+7 Noe, 3n-1 is divided by 9 So, 3n-1 = 3(9a+7)-1 = 27a + 21-1 = 27a + 20 = 27 a + 18 + 2 = 9(3a + 6) + 2 when divided by 9

Hence, Remainder = 2

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