the product of ages of person 2 years ago 4 yers later is 16.then present age of person
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Let the present age of the person is x years.
Then, two years ago, his age was (x-2) and after 4 years, his age will be (x+4).
Now given that
(x-2)(x+4) = 16
or, x2 + 2x - 8 = 16
or, x2 + 2x - 24 = 0
or, (x+6)(x-4) = 0
i.e., x = -6 or x = 4.
But age can't be negative.
So, x = 4.
Therefore the present age of the person is 4 years.
Let the present age of the person is x years.
Then, two years ago, his age was (x-2) and after 4 years, his age will be (x+4).
Now given that
(x-2)(x+4) = 16
or, x2 + 2x - 8 = 16
or, x2 + 2x - 24 = 0
or, (x+6)(x-4) = 0
i.e., x = -6 or x = 4.
But age can't be negative.
So, x = 4.
Therefore the present age of the person is 4 years.
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