Question

On dividing a positive integer n by 9 , we get 7 as remainder. What will be the remainder if (3n-1) is divided by 9 ?​

Answer 1

Answer:

let q be the quotient by n is divided by 9

now dividend =divisor ×quotient +remainder

n=9×q+7

n=9q+7

now 3n-1=3×(9q+7 )=27q+21-1=27q+20=27q+18+2

when 3n-1 is divided by 9

when 27q+18+2 is divided by 9

when 9 (3q+2)+2 is divided by 9 the remainder is 2

Step-by-step explanation:

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