Paula's age is 3 times her sister's. After 2 years she will be twice as old as her sister. What are their ages.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let Paula's present age be P. Her age is three times the age of her sister. Her sister's age is P/3.

After 2 years Paula will be P+2 years old and her sister will be P/3 + 2. Then Paula will be twice as old as her sister.

This gives P+2 = 2(P/3 + 2)

=> P + 2 = 2P/3 + 4

=> P - 2 = 2P/3

=> 3P - 6 = 2P

=> P = 6

Paula's age is 6 and her sister's age is 2.

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial