Problems on Ages - Arithmetic Aptitude Questions and Answers

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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.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Answer : Option 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.\(\frac { D+5} { S+5 }\)=\( \frac {9} { 5 }\)....(ii)

II.\(\frac { D-10} { S-10 }\)=\(\frac { 3} { 1 }\)....(iii)

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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