Question

The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6?

Answer 1

Answer:

1

Step-by-step explanation:

Given the remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. So we can assume that when m + n and m - n are divided by 12 we get 8 and 6 respectively.

So  m + n = 8

     m - n = 6 On adding these two equations we get

   2 m = 14 or m = 7

So m + n = 8

     7 + n = 8

     n = 8 - 7  or n = 1

 m n / 6 = 7 x 1 / 6 or 7 / 6

 Dividing 7 / 6 we get the remainder 1.