Two numbers are in the ratio 4 : 5. If 30 is subtracted from each of the numbers, the ratio becomes 1 : 2. Find the numbers.

Let two numbers be x and y. Given, Numbers are in the ratio 4 : 5. Given, If 30 is subtracted from each of the numbers, the ratio becomes 1 : 2. From (1) and (2), we get : Substituting value of y in equation (1), we get : Hence, numbers are 40 and 50.