Question

A married couple has a son and daughter.T he age of father is 4 times of age of son, and the age of daughter is on third of her mother's age. If the age of wife is 6 year less from her husband, and the sister is 3 years elder than her brother, then the age of mother is?

Answer 1

Answer:

54 yrs

Step-by-step explanation:

Let age of son=x

father's age=4x

Then wife is 6 yr less hen her husband

so her age=4x-6

daughter is on third of her mother's age.

so girl's age=1/3(4x-6)------------------(1)

also the girl is 3 years elder than her brother

so girl's age=x+3----------------(2)

form (1) and ()2)

1/3(4x-6)=x+3

4x-6=3(x+3)

4x-6=3x+9

4x-3x=9+6

x=15

The age of mother

=4x-6=4*15-6

=60-6

=54 yrs