A number when divided by a divisor leaves a remainder of 21. 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 option:
A) 12 B) 13 C) 34 D) 37 E) 59
Let the number is N, the divisor = D,   I will make the two equations-   N = xD+21   2N = yD+11   where x and y are integers   Solving them: D(y-2x) = 34   as D is also integer and 34 is a prime number, the D should be 34 to satisfy the above equation.   Hence answer is '37'
<result>D</result>
A number when divided by a divisor leaves a remainder of 21. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?