The ages of the two sisters Rajini and Rani are in the proportion of 2: 3. After 6 years, the proportion of their ages will be 3: 4. What is the current age of Rajini?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 12 years.
Let the ages of Rajini = 2x
The age of Rani = 3x
After 6 years,
Age of Rajini = 2x + 6
Age of Rani = 3x + 6
According to the question;
4(2x + 6) = 3(3x + 6)
8x + 24 = 9x + 18
x = 6
The current age of Rajni = 6x = 6(2) = 12 years