Question

In a family a couple has a son and daughter. the age of the father is 3 times that of his daughter and the age of the son is half of his mother. the wife is nine years younger to her husband and the brother is seven years older than his sister. what is the age of the mother?

Answer 1

let
father=a
mother=b
son=c
daughter=d
given,
a=3d------1
b=2c-------2

given,
a=b+9------3
c=d+7-------4
from1,3,
b+9=3d
b=3d-9-----5
from 2,4,
b=2(d+7)
b=2d+14
from 5
3d-9=2d+14
therefore
d=23
therefore a=69
therefore
a=60