A number when divided by a divisor leaves a remainder of 23. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choose the correct choice from the following
A) 12  B) 13  C) 35  D) 36  E) 59
Let the number is N, the divisor = D,   I will make the two equations-   N = xD+23   2N = yD+11   where x and y are integers   Solving them: D(y-2x) = 36   as D is also integer and 36 is a prime number, the D should be 36 to satisfy the above equation.   Hence answer is '36'
<result>D</result>
A number when divided by a divisor leaves a remainder of 23. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?