Q.16 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) Present age of father = 42 years
Present age of son = 14 years
Required ratio \(\frac{42}{14} = \frac{3}{1} = 3 : 1 \)
(b) The son was 12 years old 2 years ago. So the age of father 2 years ago will be
= 42 – 2 = 40 years
Required ratio = \(\frac{40}{12} = \frac{40÷4}{12÷4} = \frac{10}{3} = 10 : 3 \)
(c) After ten years age of father = 42 + 10 = 52 years
After 10 years age of son = 14 + 10 = 24 years
Required ratio = \(\frac{52}{24} = \frac{52÷4}{24÷4} = \frac{13}{6} = 13 : 6 \)
(d) 12 years ago, age of father was 30
At that time age of son = 14 – 12 = 2 years
Required ratio = \(\frac{30}{2} \) = 15 = 15 :1