Present ages of $X$ and $Y$ are in the ratio $5:6$. Seven years hence the ratio will become $6:7$. What is the present age of $X$ in years?

The ratio of $A$'s and $B$'s ages is $4:5.$ If the difference between the present age of $A$ and $B$'s age $5$ years hence is $3,$ then what is the sum of the present ages of $A$ and $B$ (in years)?

The ratio between 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)

Ratio of the ages of Tania 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 ratio between the present ages of $P$ and $Q$ is $5: 7$. If the difference between $Q$'s present age and $P$'s age after $6$ $years$ is $2$,what is the sum of ages of $P$ and $Q$ at present? (in $years$)