Answer: Pragati's present age is 9 years.
Let her present age be \(x\) years.
\[(x - 2)(x + 3) = 84\]\[x^2 + x - 6 - 84 = 0\]\[x^2 + x - 90 = 0\]\[(x + 10)(x - 9) = 0\]\(x = -10\) or \(x = 9\). Age cannot be negative, so \(x = 9\). Check: \(7 \times 12 = 84\).