Two numbers are in the ratio of 2 : 3. If each number increased by 20, the ratio becomes 3 : 4. The numbers are:

Correct option is A

Given:
Let the two numbers be 2x and 3x, where 'x' is the common multiplier.
Solution:
When each number is increased by 20, the new ratio is 3:4. Thus, the equation becomes:
​$$\frac{2x + 20}{3x + 20} = \frac{3}{4}$$​​
4(2x + 20) = 3(3x + 20)
8x + 80 = 9x + 60
80 - 60 = 9x - 8x
20 = x
First number = 2x = 2(20) = 40
Second number = 3x = 3(20) = 60