Multiple choice

What is the ratio of the ages of Ravina and Shivani? Statement I: 6 years ago their ages were in the ratio 3: 4. Statement II: After 2 years the younger one’s age will be 85% that of the older. Statement III: The sum of their ages is three less than twice the age of the older.

  1. Only I and III

  2. Any two of them

  3. Only I and II

  4. All together are required

  5. Any one of them is required

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R and S be ages. I and II give 4R-3S=6 and R=0.85S-0.3, solving to R=15, S=18 (ratio 5:6). I and III give 4R-3S=6 and R=S-3, solving to R=15, S=18. II and III give R=0.85S-0.3 and R=S-3, solving to R=15, S=18. Any two statements give the same ratio.