Mathematics
Represent the following situation in the form of quadratic equation :
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
Quadratic Equations
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Answer
Let Rohan's present age be x years.
So, Mother's age = (x + 26) years.
Age of Rohan after 3 years = (x + 3) years.
Age of Rohan's mother after 3 years = (x + 26 + 3) = (x + 29) years.
Given,
Product of their ages after 3 years = 360.
⇒ (x + 3)(x + 29) = 360
⇒ x2 + 29x + 3x + 87 = 360
⇒ x2 + 32x + 87 - 360 = 0
⇒ x2 + 32x - 273 = 0.
Hence, required quadratic equation is x2 + 32x - 273 = 0.
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