Question

Rohan's mother is 26 years older than him. The product of their ages ( in years ) 3 years from now will be 360. Find the present age of Rohan.

Answer 1

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

Therefore x = 7 or x= -39

Neglecting the negative term , x= 7
Age of Rohan = 7 years