There is a fraction, the denominator plus 2 equals 2 / 5, and the denominator minus 3 equals 1 / 2. What is the sum of the numerator and denominator of this fraction? How to find the specific answer process

There is a fraction, the denominator plus 2 equals 2 / 5, and the denominator minus 3 equals 1 / 2. What is the sum of the numerator and denominator of this fraction? How to find the specific answer process

Hello! Let this fraction be B / A, then B / A + 2 = 2 / 5, B / A-3 = 1 / 2. We can get that 2A + 4 = 5b, A-3 = 2B, the solution is a = 23, B = 10. So the sum of the numerator and denominator of this fraction is 33