The sum of the digits of a two-digit number is 12. the number formed by interchanging the digits is 54 more than the original number. what is the original number? 39 48 57

Hello there!

The sum of the two digits is 12; let's wich options make this true:

39) 3 + 9 = 12

48 ) 4 + 8 = 12

57 ) 5 + 7 = 12

So the 3 options still are possible solutions.

Now "the number formed by interchanging the digits is 54 more than the original number"

let's see wich option makes this true:

39) the interchange of 39 is 93, and the difference is 93 - 39 = 54

So 39 is a solution of this problem let's see the other options.

48) the inverse is 84, and the difference between both numbers is 84 - 48 = 36, this is not a solution of the proble,

57) the inverse is 75, and the difference between both numbers is 75 - 57 = 18, this is not a solution

So the original number is 39.

this is false ^.^ lol