Let the smaller number be x and the larger number be y. We can calculate this by using simultaneous equation, aka listing 2 equations out. From given, X + y = 43 Let this be equation no. 1 X + 19 = y Let this number be equation 2. We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute. We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1. X + x + 19 = 43 Solve this by algebra. 2x = 43 - 19 X = 12 Now we know the exact value of x Now substitute x = 12 into equation no. 2 12 + 19 = y Y = 31 So the answer is 12 and 31