The product of Virat Kohli's age 8 years ago | vedclass

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(A) Let the present age of Virat Kohli be $x$ years.Age $8$ years ago was $(x - 8)$ years.Age $6$ years later will be $(x + 6)$ years.According to the

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(A) Let the present age of Virat Kohli be $x$ years.Age $8$ years ago was $(x - 8)$ years.Age $6$ years later will be $(x + 6)$ years.According to the problem,the product of these ages is $680$:$(x - 8)(x + 6) = 680$$x^2 + 6x - 8x - 48 = 680$$x^2 - 2x - 48 - 680 = 0$$x^2 - 2x - 728 = 0$Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$,where $a = 1, b = -2, c = -728$:$x = \frac{2 \pm \sqrt{(-2)^2 - 4(1)(-728)}}{2(1)}$$x = \frac{2 \pm \sqrt{4 + 2912}}{2}$$x = \frac{2 \pm \sqrt{2916}}{2}$$x = \frac{2 \pm 54}{2}$Since age cannot be negative,we take the positive value:$x = \frac{2 + 54}{2} = \frac{56}{2} = 28$Therefore,his present age is $28$ years.

The product of Virat Kohli's age $8$ years ago and $6$ years later is $680$. Find his present age.

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