Multiple choice

Three years ago, Poorvi was thrice as old as his sister Reena. After three years Poorvi will be twice as old as Reena. What is the present age of Reena?

  1. 5 years

  2. 11 years

  3. 9 years

  4. 7 years

  5. none of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Reena's present age = R. Three years ago: Reena was R-3, Poorvi was thrice that = 3(R-3) = 3R-9. So Poorvi's present age = 3R-9+3 = 3R-6. After three years: Reena will be R+3, Poorvi will be (3R-6)+3 = 3R-3. Given: 3R-3 = 2(R+3). Solving: 3R-3 = 2R+6 → R = 9. So Reena's present age is 9 years, which matches option C. Verify: 3 years ago Reena was 6, Poorvi was 18 (thrice). After 3 years, Reena will be 12, Poorvi will be 24 (twice).

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