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Q: Rajani's father is three times older than Rajani and Rajani is twice as old as her sister Lavanya. Two years from now the sum of the given three person ages will be 60 years. Find the present age of Rajani.
  • A. 12 years
  • B. 8 years
  • C. 36 years
  • D. 13 years
Correct Answer: Option A - Let the present age of Lavanya be x years. then the present age of Rajani = 2x present age of father of Rajani = 6x According to the question, (x + 2) + (2x + 2) + (6x + 2) = 60 9x + 6 = 60 9x = 54 x = 6 Hence, the present age of Rajani = 2 × 6 = 12 years
A. Let the present age of Lavanya be x years. then the present age of Rajani = 2x present age of father of Rajani = 6x According to the question, (x + 2) + (2x + 2) + (6x + 2) = 60 9x + 6 = 60 9x = 54 x = 6 Hence, the present age of Rajani = 2 × 6 = 12 years

Explanations:

Let the present age of Lavanya be x years. then the present age of Rajani = 2x present age of father of Rajani = 6x According to the question, (x + 2) + (2x + 2) + (6x + 2) = 60 9x + 6 = 60 9x = 54 x = 6 Hence, the present age of Rajani = 2 × 6 = 12 years