When there is a difference of 36 between a two-digit number and the number obtained by interchanging its digits, what will be the difference between the sum of the digits and the difference of the digits, if the ratio between the digits is 1:2?
A
8
B
None of these
C
4
D
16
Correct Option:
A
Explanation
If the two digits differ by d, a two-digit number and its reverse differ by 9d. So 9d=36⇒ d=4. With digit ratio 1:2, the digits are 4 and 8. Their sum is 12, difference is 4, and 12-4=8.