We know the general form of a quadratic equation, x2−(sum of roots) x+(product of roots) =0 ∴ Equation of Sarika, x2−28x+192=0 And equation of Meera, x2−28x+132=0 ∵ Sarika made the mistake in reading the co-efficient of x . ∴ The correct equation x2+28x+192=0 ⇒ x2+16x+12x+192=0 ⇒ x(x+16)+12(x+16)=0 ⇒(x+16)(x+12)=0 ∴ x=−12 or x=−16 are the required roots.