Question

mother is 3 times as old as her daughter. 6 years ago, mothers age was 6 times that of her daughter. How old are they now?

Answer 1

daughter age =10years

mother age = 30years

explanation:

let the daughter age be x,mother age be y

given that mother is three times as old as her daughter age so y=3x(equation-1)

6 years ago,mother age was 6 times of the daughter age.

age of daughter = (x-6)years

age of mother = (y-6)years

y-6 = 6(x-6)

y-6=6x-36

y=3x so,

3x-6=6x-36

3x-6x= -36+6

-3x= -30

x= -30/-3

x=10

daughter age=10years

mother age=3x

=3*10

=30 years