Multiple choice

Aparna's age is twice Savita's age. What is the difference between their ages? (I) After 5 years, the ratio between their ages will be 9 : 5. (II) 10 years ago, the ratio of their ages was 3 : 1.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: After 5 years, ratio is 9:5. If Aparna = 2x, Savita = x, then (2x+5)/(x+5) = 9/5. Solving: 10x+25=9x+45, x=20. Ages: 40 and 20, difference = 20. Statement II: 10 years ago, ratio was 3:1. (2x-10)/(x-10) = 3/1. Solving: 2x-10=3x-30, x=20. Same answer. Either statement alone gives x=20, so difference = 20 years. Both are independently sufficient.

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