A number when divided by a certain divisor left remainder 255, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?	Choose the correct choice from the following choices:  A) 370  B) 365  C) 398  D) 456  E) 460
Easy solution:   N= Dq1+255   2N = 2Dq1 + 51 0- (1)   2N = Dq2 + 112 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 398   D * Some integer = 398   Checking all options only (C) syncs with it.   Answer 398
<result>C</result>
A number when divided by a certain divisor left remainder 255, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?