Question

Quadratic equation

A mother is three times as old as her daughter 6 years ago their product was 180. Find their present age

Answer 1

Explanation:

 mother daughter

now 3x x

6yrs ago 3x-6 x-6

(3x-6)(x-6)=180

3x²-18x-6x+36=180

3x²-24x-144=0

x²-8x-48=0

x²-12x+4x-48=0

(x+4)(x-12)=0

x=12

mother-36 years old daughter -12 years old