General Aptitude - 23.3 Problems on Ages - Data Sufficiency 2 Free Online Tests | Mock Tests | Preparation | Practice Tests

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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. All I, II and III

D. Any two of the three

E. None of the above

View Answer

Correct choice: D

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).

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