How old is Jane?

How old is Jane?

  1. Ten years ago, she was one-third as old as she is now.
  2. In 15 years, she will be twice as old as she is now.

Answer

Assume that the present age of Jane is x years.

Statement 1: Ten years ago, she was one-third as old as she is now.

Age of Jane ten years ago = 1/3 (present age of Jane)

x - 10 = x/3

3x - 30 = x

From this equation, you can find the value of x. Thus, statement 1 is sufficient to answer the question.

Statement 2: In 15 years, she will be twice as old as she is now.

Age of Jane 15 years after now = 2 × Present age of Jane

x + 15 = 2x

From this equation, you can find the value of x. Thus, statement 2 is sufficient to answer the question.

The correct option is D.