A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Correct Answer: 37
Explanation:
Let the divisor be x and quotient be y.
Then, the number = xy + 24
Twice the number = 2xy + 48
Now 2xy is completely divisible by x. On dividing 48 by x remainder is x
∴ x = 48 - 11
= 37
