Q2 of 58 Page 106

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.

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


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