The ratio of the present ages of two brothers is $1:2$ and $5 \text{ years}$ back,the ratio was $1:3$. What will be the ratio of their ages after $5 \text{ years}$?

$A$ man's age is $125 \%$ of what it was $10 \, \text{years}$ ago, but $83 \frac{1}{3} \%$ of what it will be after $10 \, \text{years}$. What is his present age? (in $\text{years}$)

The ratio of the ages of a father and a son at present is $5:2$. $4$ years hence,the ratio of the ages of the son and his mother will be $1:2$. What is the ratio of the present ages of the father and the mother?

The ratio of the age of Tina and Rakesh is $9:10$. $10 \text{ years}$ ago,the ratio of their ages was $4:5$. What is the present age of Rakesh (in $\text{years}$)?

The ratio of the present ages of $Ram$ and $Rakesh$ is $6:11$. $4$ years ago,the ratio of their ages was $1:2$. What will be $Rakesh$'s age after $5$ years? (in years)

The sum of the ages of two brothers, having a difference of $8 \, \text{years}$ between them, will double after $10 \, \text{years}$. What is the ratio of the age of the younger brother to that of the elder brother?