Question

Rohan's mother is 26 years older than him the produced of their ages in years 3 years from now will be 360 you would like to find the Rohan's present age by completing square method quadratic equation solve please fast as possible​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Rohan's mother is 26 years older than him.

The product of their ages in years 3 years from now will be 360.

To Find :-

The Present Age

Solution :-

Let the Rohan's present age be x.

And His mother's age be x + 26

According to the Question,

⇒ (x +3)(x + 26 + 3) = 360

⇒ (x + 3)(x + 29) = 360

⇒ x² + 29x + 3x + 87 = 360

⇒ x² + 32x = 360 - 87

⇒ x² + 32x - 273 = 0

⇒ x = - b +-√b² - 4ac/2a

⇒ x = - 32 +-√1024 + 1092/2

⇒ x = - 32 +- 46/2

⇒ x = 14/2

⇒ x = 7

Rohan's age = 7 years

Mother's age = 7 + 26 = 33 years