Question

A positive integer n when divided by 9,gives 7 as remainder what will be the remainder when (3n-1)is divided by ?

Answer 1

Hi ,

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By Division algorithm :

Divided = quotient × divisor + remainder

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According to the problem given ,

If n is divided by 9 , Let the quotient

is x , remainder is 7

n = 9x + 7----( 1 )

Multiply ( 1 ) with 3 , we get

3n = 27x + 21

Subtract 1 both sides of the equation ,

we get

3n - 1 = 27x + 21 - 1

3n - 1 = 27x + 20

3n - 1 = 9 × 3x + 20

Therefore ,

If ( 3n - 1 ) divided by 9 , the

remainder is 20

I hope this helps you.

: )