General Aptitude - 23.2 Problems on Ages - Data Sufficiency 1 Free Online Tests | Mock Tests | Preparation | Practice Tests

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Divya is twice as old as Shruti. What is the difference in their ages?
I.	Five years hence, the ratio of their ages would be 9 : 5.
II.	Ten years back, the ratio of their ages was 3 : 1.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. None of the above

View Answer

Correct choice: C

Explanation:

Let Divya's present age be D years and Shruti's present age b S years

Then, D = 2 x S ⇔ D - 2S = 0 ....(i)

I.	D + 5	=	9	....(ii)
	S + 5		5

II.	D - 10	=	3	....(iii)
	S - 10		1

From (ii), we get : 5D + 25 = 9S + 45 ⇔ 5D - 9S = 20 ....(iv)

From (iii), we get : D - 10 = 3S - 30 ⇔ D - 3S = -20 ....(v)

Thus, from (i) and (ii), we get the answer.

Also, from (i) and (iii), we get the answer.

∴ I alone as well as II alone give the answer. Hence, the correct answer is (C).

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