A number theory problem by Jose Sacramento

Number Theory Level 3

The positive integers m m and n n leave remainders of 2 and 3, respectively, when divided by 6. with m > n m > n . What is the remainder when m − n m-n is divided by 6 ?


The answer is 5.

Jose Sacramento by Jose Sacramento , 66, Portugal

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Alekhya China
Sep 16, 2016

m leaves a remainder of 2 when divided by 6. HENCE M=6K+2. n leaves a remainder of 3 when divided by 6.HENCE N=6L+3. THEREFORE M-N= 6(K-L)-1 .SO M-N LEAVES A REMINDER OF -1 i.e. 5 WHEN DIVIDED BY 6

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...