Answer: Shraddha is 9 years old.
Let her present age be \(x\) years. Then her age 2 years ago was \((x - 2)\) years and 3 years hence will be \((x + 3)\) years.
\((x - 2)(x + 3) = 84\)
\(x^2 + x - 6 = 84\)
\(x^2 + x - 90 = 0\)
\((x + 10)(x - 9) = 0\)
\(x = -10\) or \(x = 9\). Age cannot be negative, so \(x = 9\).
Check: (9 – 2)(9 + 3) = 7 × 12 = 84 ✓