Question

Eight years ago Ashwin's age was 1 year less than 3 times Arpit's age. Six years ago Ashwin's age was 1 year more than 2 times Arpit's age. What will be Arpit's age after 7 years?

• A. 15 years
• B. 16 years
• C. 12 years
• D. 19 years

Answer 1

Answer:

D. 19 years

Let the age of Arpit before 8 years be x years then,Age of Ashwin = (3x – 1) years Present age of Arpit = (x + 8) years Present age of Ashwin = (3x + 7) years ⇒ (3x + 7 – 6) = 2(x + 8 – 6) + 1 ⇒ (3x + 1) = (2x + 4) + 1 ⇒ 3x + 1 = 2x + 5 ⇒ x = 4 Present age of Arpit = (x + 8) = (4 + 8) years ⇒ 12 years Age of Arpit after 7 years = (12 + 7) years ⇒ 19 years