The ratio of the present ages of Anju and Sandhya is $13: 17$. $4$ years ago,the ratio of their ages was $11: 15$. What will be the ratio of their ages $6$ years hence?

$A$ father's age is three times the sum of the ages of his two children,but $20 \, \text{years}$ hence his age will be equal to the sum of their ages. Then,the father's age is (in $\text{years}$)

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 between the present age of Manisha and Deepali is $5:x$. Manisha is $9$ years younger than Parineeta. Parineeta's age after $9$ years will be $33$ years. The difference between Deepali's and Manisha's age is the same as the present age of Parineeta. What will come in place of $x$?

The age of a father is twice that of his elder son. Ten years hence,the age of the father will be $3$ times that of the younger son. If the difference of ages of two sons is $15 \text{ years}$,the age of the father is (in $\text{years}$)

The ratio of the present ages of $A$ and $B$ is $7:9$. $6$ years ago,the ratio of $\frac{1}{3}$ of $A$'s age at that time and $\frac{1}{3}$ of $B$'s age at that time was $1:2$. What will be the ratio of $A$'s to $B$'s age $6$ years from now?