In the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number ?

6 : 5 5 : 4 4 : 3 3 : 2

3 : 2

Let the numbers be a, b  (a > b) Then, difference of the numbers i.e. a - b = 20% of (a + b)  a - b = \(\frac{1}{5}\) (a + b) \(\frac{a-b}{a+b}\) = \(\frac{1}{5}\) Using componendo and dividendo  \(\frac{2a}{2b}\) = \(\frac{6}{4}\) a = 3, b = 2 Ratio = 3 : 2