Answer : Option E

Explanation :

 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\(\frac { 3X+5} { 4X+5 } \)=\( \frac {4 } { 5 } \)This gives x.

 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 :\(\frac { t } {t+5 } \)=\( \frac {4 } { 5 } \)This gives t

Thus, II and III give the answer.

 Correct answer is (E).