Q. 2 C4.5( 32 Votes )

Represent the following situations in the form of quadratic equation:
Rohan’s mother is 26 years older than him. The product of their ages after 3 years will be 360 years. We need to find Rohan’s present age.

Answer :

Let age of Rohan = x

Rohan’s mother age = x + 26


After 3 years, Rohan’s age = x + 3


and mother’s age = (x + 29) years


According to the given condition


(x + 3) (x + 29) = 360


x2 + 32x - 273 = 0, which is quadratic equation of the form ax2 + bx + c = 0

x2 + 39x - 7x -273 = 0

x(x + 39) -7 (x+ 39) = 0

(x-7)(x+39)= 0
 x = 7 or x = -39

but age cannot be negative.

hence, x = 7

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