The Sum of the digits of a two digit number is 12. The number obtained by interchanging the digits exceeds the original number by 18. Find the original number.

original number is 57

Step-by-step explanation:

I am not sure if there is a correct way to do this ... but I am just guessing and checking to find the answer.

the possible 2 digit numbers that equal 12 are:

39,93,48,84,57,75,66

the number obtained by interchanging the digits exceeds the original number by 18 ... so the original number is 18 less then the new number.

the only two numbers whos difference is 18 is 57 and 75 ... 75 - 57 = 18

so the original number is 57 ... and the new number obtained by interchanging the digits (75) exceeds the original number by 18 ... and 75 - 57 = 18.