Question

The sum of the digits of a two digit number is 9. the number obtained by reversing the order of digits is 45 more than the original number . find the original number

Answer 1

Solution:
Let x and y be the two-digit number.
x-y=9 , then we interchange it
yx-xy=45
If x=2 and y = 7, then we obtain,2+7=9 and if we interchange it, we get the value of 45,
72-27=45.
Therefore, the two-digit number are 2 and 7.