Chapter: Quadratic Equations· Mathematics Part 1 (Algebra)
Answer: Shraddha’s present age is 9 years
Let her present age be \(x\) years. Age 2 years ago \(= x - 2\); age 3 years hence \(= x + 3\).
\((x - 2)(x + 3) = 84\)
\(x^2 + x - 6 = 84\)
\(x^2 + x - 90 = 0\)
\((x + 10)(x - 9) = 0\)
\(x = -10\) or \(x = 9\). Age cannot be negative, so \(x = 9\).
Check: \(7 \times 12 = 84\) ✓.