I. Let the present ages of Tanya and Rahul be 3x years and 4x years.  II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5. III. (Rahul's age) = (Tanya's age) + 5.
From I and II, we get 3x + 5 = 4 . This gives x. 4x + 5 5 Tanya's age = 3x can be found. Thus, I and II give the answer.
From I and III, we get 4x = 3x + 5. This gives x. Tanya's age = 3x can be found. Thus, I and III give the answer.
From III : Let Tanya's present age be t years. Then Rahul's present age = (t + 5) years. Thus, from II and III, we get : t = 4 . This gives t. t + 5 5 Thus, II and III give the answer. Correct answer is (E).