Given that ABC is a positive integer and satisfies a + C = 10, C + B = 13, find a, B,

Given that ABC is a positive integer and satisfies a + C = 10, C + B = 13, find a, B,

(a + C) - (c + b) = (a-b) = (a + b) (a-b) = - 3 because a and B are positive integers, a + B is a positive integer greater than 1, and A-B is an integer, so a + B = 3, A-B = - 1, a = 1, B = 2, so C = 9, and C = 3 because C is a positive integer