I am thinking of 2 digit numbers. they have the same digit, only reversed. the difference between the numbers is 18, while the sum of the digits of each number is 10. find the 2 numbers?

The list of two-digit numbers whose digits add up to 10 would be:

19

28

37

46

55

64

73

82

91

Now the numbers have the same digits only reversed and the difference between the two numbers is 18 - the only pair that fits this description is 46 and 64, thus those are the two numbers