on dividing a positive integer n by 9 we get 7 as remainder. what will be the remainder if (3x-1) is divided by 9 ?

Asked by Saranya Krishnamurthy | 24th Apr, 2014, 01:56: PM

Expert Answer:

N o t e asterisk times space I space a m space a s s u m i n g space space 3 x minus 1 space a s space 3 n minus 1  i f space d i v i d i n g space a space p o s i t i v e space i n t e g e r space n space b y space 9 space w e space g e t space 7 space a s space r e m a i n d e r  n equals 9 k plus 7  N o w comma  3 n minus 1 equals 3 open parentheses 9 k plus 7 close parentheses minus 1  equals 27 k plus 21 minus 1  equals 27 k plus 20  equals 9 left parenthesis 3 k plus 2 right parenthesis space plus 2  W h i c h space g i v e s space 2 space a s space r e m a i n d e r space w h e n space d i v i d e d space b y space 9.

Answered by  | 25th Apr, 2014, 10:40: AM

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