Question

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

Answer 1

Answer:

Let x be the present age of Rohan.

Mother’s age = x + 26

Age of Rohan after 3 years = x + 3

Age of mother after 3 years = x + 29

Product of age after 3 years = (x + 3) (x + 29) = 360

=> x² + 32x + 87 = 360

=> x² + 32x + 87 – 360 = 0

x² + 32x – 273 = 0

(x – 7) (x + 39) = 0

=> x = 7 or x = -39 (age cannot be negative value, so we neglect x = -39).

Hence x = 7.

Rohan’s present age is 7 years.