Divya is twice Shruti's age. What is the age gap between them? I. In five years, the age difference between them will be 9:5. II. Ten years ago, their age ratio was 3 to 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
Answer:C
Divya is twice Shruti's age. What is the age gap between them? I. In five years, the age difference between them will be 9:5. II. Ten years ago, their age ratio was 3 to 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
Explanation: Let D be Divya's current age, and S be Shruti's current age.After that, D = 2 x S D - 2S = 0....I D + 5/S + 5 = 9/5.... (ii)D - 10/S - 10 = 3/1 D - 10/S - 10 = 3/1 D - 10/S - 10 = 3/1 D - (iii)We obtain 5D + 25 = 9S + 45 from (ii) and 5D - 9S = 20 from (ii) (iv)D - 10 = 3S - 30 D - 3S = -20 D - 10 = 3S - 30 D - 3S = -20 D - 10 = 3S - 30 D - 3S = -20 D - 10 = 3S - 30 D - (v)We may deduce the solution from I and (ii).We also obtain the solution from I and (iii). I, as well as II, provide the solution on our own. As a result, the right response is (C).