A number when divided by a certain divisor left remainder 251, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor? Choose the correct choice from the following options:
A) 370	B) 365	C) 390	D) 456	E) 460
Easy solution:   N= Dq1+251   2N = 2Dq1 + 502 - (1)   2N = Dq2 + 112 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 390   D * Some integer = 390   Checking all options only (C) syncs with it.   Answer 390
<result>C</result>
A number when divided by a certain divisor left remainder 251, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?