A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. Find the divisor?
Pick one: A) 370 B) 365 C) 380 D) 367 E) 460
Easy solution:   N= Dq1+241   2N = 2Dq1 + 482 - (1)   2N = Dq2 + 115 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 367   D * Some integer = 367   Checking all options only (D) syncs with it.   ANswer 367
<result>D</result>
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. Find the divisor?