The difference between a two-digit number and that number reversed is 18. What could that number be? List all possibilities.
Accepted Solution
A:
A two digit number can be written like AB or 10*A + B ( for example the number 36 can be written like 3*10 + 6 = 36) You can write this problem as
10*A + B - (10*B + A) = 18 10*A + B - 10*B - A = 18 9*A - 9*B = 18 9(A - B) = 18 A - B = 2
A and B are digits, that means that both are either 0,1,2,3,4,5,6,7,8 or 9 (except that A cannot be 0 bcs the first digit in a two digit number cannot be 0)