Question

10. The present age of a father is 36 years and that of his son is 8 years. Find the ratio Or
(a) present age of the father to the present age of the son.
(b) age of father to the age of the son, when the son was 6 years old.
(c) age of father to the age of son after 10 years. (d) age of father to the age of son when father was 30 years old.​

Answer 1

Answer:

a) 36:8

9:2 in shortest form

b) 34:6

17:3 in shortest form

c) 46:18

23:9 in the shortest form

d)30:2

15:1 in the shortest form

Answer 2

Answer:

∴ (a) Present age of the father to the present age of the son is $9:2$.

  (b) Age of father to the age of the son, when the son was $6$ years old is  $17:3$.

  (c) Age of father to the age of son after $10$ years is $23:9$.

    (d) Age of father to the age of son when father was $30$ years old is $15:1$.

Step-by-step explanation:

In context to question asked,

• We have given that, the present age of a father = $36$ years
• The present age of his son = 8 years.
• We have to find the ratio of :

• (a) present age of the father to the present age of the son

          = $\frac{36}{8}$

          = $\frac{9}{2}$

• (b) age of father to the age of the son, when the son was 6 years old

           = $\frac{36-2}{8-2}$    (∴ subtract 2 from both ages as the son's age was 6 years)

          = $\frac{34}{6}$      

          = $\frac{17}{3}$

• (c) age of father to the age of son after $10$ years, add $10$ to both of their ages, the ratio becomes,

           = $\frac{36+10}{8+10}$      

           = $\frac{46}{18}$

           = $\frac{23}{9}$

• (d) age of father to the age of son when father was $30$ years old, subtract $6$ from their ages as the father's age was $30$ years, the ratio becomes,

           = $\frac{36-6}{8-6}$      

           = $\frac{30}{2}$

           = $\frac{15}{1}$

• ∴ (a) Present age of the father to the present age of the son is $9:2$.

         (b) Age of father to the age of the son, when the son was $6$ years old is  $17:3$.

         (c) Age of father to the age of son after $10$ years is $23:9$.

         (d) Age of father to the age of son when father was $30$ years old is $15:1$.