Multiple choice

7 years ago, Varun's age was five times the square of Swati's age. 3 years hence, Swati's age will be two-fifth of Varun's age. Find Swati's present age.

  1. 10 years

  2. 27years

  3. 7 years

  4. 9 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Varun's present age = x, Swati's present age = y. 7 years ago: (x-7) = 5(y-7)². 3 years hence: (y+3) = (2/5)(x+3). From second equation: 5y + 15 = 2x + 6 → 2x = 5y + 9 → x = (5y+9)/2. Testing y=9: x = (45+9)/2 = 27. Check first equation: (27-7) = 5(9-7)² → 20 = 5(4) → 20 = 20 ✓. Swati is 9 years old. Option D is correct.

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