1. The problem statement, all variables and given/known data If m; n, and d are integers, d > 0, and dl(m - n), what is the relation between m mod d and n mod d? Prove your answer. 2. Relevant equations @@@ 3. The attempt at a solution (m-n)/=dk >>>>>(m-n)/d=k.....equation 1 m mod d means m=dq1+r1 where q1 is the quotient and r1 is the answer for mod n mod d means n=dq2+r2 where q2 is the quotient and r2 is the answer for mod r1-r2= m-dq1-n+dq2 =(m-n)+d(q1-q2) sub equation 1 into it, (r1-r2)/d +q1-q2=k how can i show that q1-q2 is equal to k so that i can conclude r1 and r2 is same. Any1?or any better solution?