Question

the difference between a two-digit number and that number reversed is 18. What could that number be. List all possibility's.

Answer 1

10a+b=10b+a-18

9a+9b = -18

9(a+b) = -18

a+b = 18/9

a + b =2

Explanation:

Answer 2

9514 1404 393

Answer:

20, 31, 42, 53, 64, 75, 86, 97

Explanation:

The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...

20, 31, 42, 53, 64, 75, 86, 97

_____

If t and o are the tens and ones digits respectively, the relation you seek is ...

(10t +o) -(10o +t) = 18

9(t -o) = 18

t - o = 2 . . . . as above

Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.