(i) Rohan's mother is 26 years older than him. The product of their ag

1.	(i) 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.
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 This is our required equation

(i) 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.

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

This is our required equation