Let the present age of Rohan be x years.
So, present age of Rohan's mother be (x + 26) years.
After 3 years
Rohan’s age = (x + 3) years
Rohan’s mother age = (x + 26 + 3) years
= (x + 29) years
According to question,
(x + 3) (x + 29) = 360
⇒ x2 + 29x + 3x + 87 = 360
⇒ x2 + 32x + 87 – 360 = 0
⇒ x2 + 32x – 273 = 0
Therefore, the required representation in the form of quadratic equation
x2 + 32x – 273 = 0