Multiple choice

Five years ago, Sunita was thrice the age of Vinita. After 10 years, Sunita's age will be twice the age of Vinita. What is the present age of Sunita?

  1. 50 years

  2. 20 years

  3. 70 years

  4. 30 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Sunita's age be S and Vinita's be V. 5 years ago: S-5 = 3(V-5) => S-5 = 3V-15 => S = 3V-10. After 10 years: S+10 = 2(V+10) => S+10 = 2V+20 => S = 2V+10. Equating: 3V-10 = 2V+10 => V = 20. S = 2(20)+10 = 50.

AI explanation

Let the present ages of Sunita and Vinita be S and V. Five years ago, the equation was S - 5 = 3(V - 5), which simplifies to S - 3V = -10. Ten years from now, the equation is S + 10 = 2(V + 10), simplifying to S - 2V = 10. Subtracting the first simplified equation from the second gives V = 20, and substituting V back yields S = 50. The present age of Sunita is 50 years.

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