2015 · Q119
The age of E is twice the age of S. To find out the difference in their ages, which of the following information is/are sufficient?
I. After five years, the ratio of their ages would be 9:5.
II. Before ten years, the ratio of their ages was 3:1.
general-mental-abilityquantitative-aptitude
- AOnly I
- BOnly II
- CEither I or II
- DBoth I and II
Explanation
Let E = 2S. From statement I, (2S+5)/(S+5) = 9/5 gives S = 20 and a difference of 20 years, so I alone suffices. From statement II, (2S-10)/(S-10) = 3/1 also gives S = 20 and a difference of 20 years, so II alone suffices too. Hence either statement I or statement II is sufficient.