Solution
Steps 1 & 2: Understand Question and Draw InferencesWe need to find the age of Jane.
• Let us assume that the present age of Jane is x years.
Hence, we need to find the value of x.
As we do not have any relevant information to infer from, let us now analyse the individual statements.
Step 3: Analyse Statement 1“Ten years ago, she was one-third as old as she is now.”
• Age of Jane ten years ago = (Present age of Jane)/3
• Ten years ago, the age of Jane was = x – 10 years.
Hence, x – 10 = x/3
From this equation, we can easily find the value of x.
Thus, statement 1 is sufficient to answer the question.
Step 4: Analyse 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
• After 15 years, age of Jane will be = x + 15
x + 15 = 2x
From this equation, we can easily find the value of x.
Thus, statement 2 is sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)Since we could determine the answer from either of the statements individually, this step is not required.
Hence, the correct answer is option D.