. Represent the following situations in the form of quadratic equations
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.
Solution: Let Rohan’s age be x.
Hence, his mother’s age = x+26
3 years hence,
Rohan’s age = x + 3
Mother’s age = x + 26 + 3 = x + 29
It is given that the product of their ages after 3 years is 360.
(x+3) (x+29) = 360
x2 +32x – 273 = 0 (required quadratic form)