Tinu is younger than Pinky by three years. The product of their ages is 180. Find their ages.

2. Tinu is younger than Pinky by three years. The product of their ages is 180. Find their ages. 

Sol. Pinky's  age be ‘x’ years

∴ Tinu's  age is (x - 3) years [Given]

As per the given condition,

x (x – 3 ) = 180

∴ x2 – 3x = 180

∴ x2 – 3x – 180 = 0

∴ x2 -15x +12x  - 180 = 0

∴ x(x – 15) +12 (x – 15) = 0

∴ (x – 15) (x + 12) = 0

∴ x – 15 = 0  or x + 12 = 0

∴ x = 15   or   x = - 12

∵ x is age of a person

∴ x cannot be negative.

∴ x = 15

∴ x – 3 = 15 – 3 = 12

∴ The ages of Tinu is 12 years and that of Pinky is 15 years.