(iii) 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.
Answer:
Let take Rohan's age = x years
Rohan’s mother is 26 years older than him
Rohan's mother age = x + 26 years
3 years from now
Rohan's age = x + 3
Age of Rohan's mother will = x + 26 + 3 = x + 29
The product of their ages (in years) 3 years from now will be 360 so that
(x + 3)(x + 29) = 360
or, x2 + 29x + 3x + 87 = 360
or, x2 + 32x + 87 - 360 = 0
or, x2 + 32x - 273 = 0
This is our required equation
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