The difference between a two-digit number and the number obtained by interchanging its digits is 36. What is the difference between the sum and the difference of the digits if the ratio of the digits is 1 : 2?
A
4
B
8
C
16
D
None of these
Correct Option:
B
Explanation
If the digits are in the ratio 1 : 2, let them be x and 2x.
9(2x - x) = 36, so x = 4.
The digits are 4 and 8. Their sum is 12, and their difference is 4. Therefore, the required difference is 12 - 4 = 8.
