Present age of father is 42 years and that of his son is 14 years. Find the ratio of:

(a) Present age of father to the present age of son.

(b) Age of the father to the age of son, when son was 12 years old.

(c) Age of father after 10 years to the age of son after 10 years.

(d) Age of father to the age of son when father was 30 years old.

(a) It is given in the question that,

Present age of father = 42 years

Also,

Present age of son = 14 years

Therefore,

Required ratio =

=

=

(b) The ages 2 years ago:

Age of son = 12 years

Also,

Age of father = 42 – 2 = 40 years

Therefore,

Required ratio =

=

=

(c) The ages 10 years later:

Age of son = 24 years

Also,

Age of father after 10 years = 52 years

Therefore,

Required ratio =

=

=

(d) The ages 12 years ago:

Age of son = 14 – 12 = 2 years

Also,

Age of father = 30 years

Therefore,

Required ratio =

=

=