#### Question

Represent the following situations in the form of quadratic equations

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.

#### Solution

Let take Rohan's age = x years

Hence, his mother's age = x + 26

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 3 years from now will be 360 so that

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

⇒ x^{2} + 29x + 3x + 87 = 360

⇒ x^{2} + 32x + 87 - 360 = 0

⇒ x^{2} + 32x - 273 = 0

Is there an error in this question or solution?

Solution Represent the following situations in the form of quadratic equations 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. Concept: Quadratic Equations.