m 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

2 thoughts on “m Rohan’s mother is 26 years older than him. The product of their ages (in years<br />3 years from now will be 360. We would like”

1. Answer:

   Let Rohan’s age = x

   Rohan’s mother age = x + 26

   After 3 years

   Rohan’s age = x + 3

   Rohan’s mother age = (x+26) + 3 = x + 29

   Now,

   Product of ages after 3 years = 360

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

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

   x² + 29x + 3x + 87 = 360

   x² + 29x + 3x + 87 – 360 = 0

   x² + 32x – 273 = 0

   It is the form if ax² + bx + c = 0

   When a = 1, b =32, c = -273

   Hence, it is a quadratuc equation.

   Reply

2. 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 :– Rohan’s present age ?

   Solution :–

   Let us assume that, rohan present age is x years.

   so,

   → Rohan’s mother present age = (x + 26) years .

   then,

   → 3 years hence, rohan will be = (x + 3) years old.

   → years hence, Rohan’s mother will be = (x + 26 + 3) = (x + 29) years old.

   A/q,

   → (x + 3)(x + 29) = 360

   → x² + 29x + 3x + 87 = 360

   → x² + 32x – 273 = 0

   → x² + 39x – 7x – 273 = 0

   → x(x + 39) – 7(x + 39) = 0

   → (x + 39)(x – 7) = 0

   → x = (-39) and 7

   since negative value is not possible.

   Therefore, Rohan’s Present age is 7 years.

   Learn more :-

   the average age of 30 students is 9 years if the age of their teacher is included it becomes 10 years ago the age of the…

   https://brainly.in/question/15081594

   Reply