1. 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.

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By: guest on 01 Jun 2017 03.17 pm

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).