Let 'm' and 'n' be positive integers with m.n . when 8m+7n is divisible by 5, we get remainder 1 , when 7m+8n is divisible by 5 , we get remainder 2 . if m-n is divisible by 5, the remainder has to be necessatrily equal to?

Question

anonymous · Answer

8 m + 7 n = 5 q1 + 1
7 m + 8 n = 5 q2 + 2
subtract you get
m -n =5(q1-q2) -1

anonymous · Answer

What can you conclue?

anonymous · Answer

Add 5 to both sides you get
m -n +5=5(q1-q2) +4 
Adding 5 will not change the remainder

anonymous · Answer

When you divide m-n by 5, you get a remainder of 4

prasadrajupvmv · Answer

thnkyou itz a simple problem bt never striked into my mind

anonymous · Answer

yw