1.

The product of Layas’s age before 5 years and after 8 years is 30. Find the present age.

Answer»

Let x be the present age of Laya 

(x – 5)(x + 8) = 30 

x2 – 3x – 40 = 30, 

x2 – 3x – 70 = 0

\(x=\frac{-3\,\pm\sqrt{9\,+\,280}}{2}=\frac{-3\,\pm\,17}{2}=7,-10\)

Present age of Laya = 7



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