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 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