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# 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.

Q. 16.     Present age of father is $\inline 42$ years and that of his son is $\inline 14$ 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 $\inline 12$ years old.

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

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

Views

Given, Present age of father = $\inline 42$years and that of his son =  $\inline 14$ years.

The ratio of

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

$=\frac{42}{14}=\frac{3}{1}=3:1$

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

$=\frac{42-2}{14-2}=\frac{40}{12}=\frac{10}{3}=10:3$

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

$=\frac{42+10}{14+10}=\frac{52}{24}=\frac{13}{6}=13:6.$

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

$=\frac{42-12}{14-12}=\frac{30}{2}=\frac{15}{1}=15:1$

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