Question

In a family, a couple has a son and daughter. the age of the father is three 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 the age of son be 'p' years,
and age of daughter be 'q' years.
so age of father = 3q
age of mother = 2p
3q-2p = 9 ... (1)
p-q = 7. ...(2)

by solving we get -
p = 30
so age of mother = 2x30 = 60 years.