Question

Product of Pragati's age 2 years ago and 3 years hence is 84. Find her present age.

Answer 1

S O L U T I O N: -

Product of Pragati's age 2 years ago and 3 years hence is 84.

But age cannot be negative so,

x = 9.

Thus, Pragati's present age is 9 years.

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Answer 2

Answer:

Let the present age of Pragati be x years.

:: 2 years ago,

Age of Pragati = (x - 2) years

After 3 years,

Age of Pragati = (x + 3) years

According to the given condition,

(x- 2) (x + 3) = 84

: X(x + 3) – 2(x + 3) = 84

:.x2 + 3x – 2x - 6 = 84

.. x2 + x- 6- 84 = 0

:: x2 + x- 90 = 0

x2 + 10x-9x-90 = 0

:: x(x + 10) – 9(x+ 10) = 0

(x + 10)(x - 9) = 0

By using the property, if the product of two numbers is zero, then at least one of them is zero, we get

.:X + 10 = 0 or x-9 = 0

:: X=-10 or x = 9 But, age cannot be

negative.

.. X = 9

:: Present age of Pragati is 9 years.