1.  What is the present age of Tanya? 

I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively. 

II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5. 

III. Rahul is 5 years older than Tanya.

A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Any two of the three

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 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).