Question

the product of Virat Kohli's age 8 years ago and 6 years later is 680 find his present age

Answer 1

Here is your answer :-

Let the present age of virat kohli be x years

Virat kohli age 8 years age = x-8

Virat kohli age 6 years later = x + 6

(x-8)(x+6) = 680

x² + 6x -8x -48 = 680

x² -2x -48-680 = 0

x² -2x -728 = 0

x² - (28-26)x - 728 = 0

x² -28x + 26x -728 = 0

x ( x -28) + 26( x-28) = 0

(x-28) (x+26) = 0

x = 28

so , virat kohli's age is 28 years .

Answer 2

Let Virat Kohli Present Age=X years

8 years Ago Virat Kohli Age=(x-8) years

6 year Later From Present Age His Age

=(X+6) years

Product of Both Ages=680

=(x-8)(X+6)=680

=x(X+6)-8(X+6)=680

=x²+6x-8x-48=680

=x²-2x-48-680=0

=x²-2x-728

By middle Term Spilliting

Prime Factor of 728=2×2×2×13×7

-2x can Written as=-28x+26x

Now

x²+26x-28x-728

X(x+26)-28(X+26)

(x-28)(X+26)

Means

x-28=0

X=28

and

X+26=0

X=-26

Hence Age Can't be in Negative.

Present Age of Virat Kohli=28 Years