What is a solution for the sum of the digits of a two digit number is 12 the difference of the digits is 2 find the number if the units digit is larger than the tens digit?

Let the two-digit number be represented as (10t + u), where (t) is the tens digit and (u) is the units digit. Given the conditions, we have the equations (t + u = 12) and (u - t = 2). Solving these, we find (u = 7) and (t = 5). Thus, the two-digit number is 57.