# 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.

P Pankaj Sanodiya

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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