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?

If the present age of $X$ is half that of $Y$ and after $20$ years the age of $Y$ will be $1 \frac{1}{2}$ times that of $X$,what is the present age of $X$?

One $year$ ago,a father was four times as old as his son. In $6$ $years$ time,his age will exceed twice his son's age by $9$ $years$. The ratio of their present ages is:

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 $5 \text{ years}$?

$5 \, \text{years}$ ago, Mr. Sohanlal was thrice as old as his son, and $10 \, \text{years}$ hence, he will be twice as old as his son. Mr. Sohanlal's present age (in $\text{years}$) is:

Eighteen $years$ ago,the ratio of $A$'s age to $B$'s age was $8: 13$. Their present ages are in the ratio $5: 7$. What is the present age of $A$ (in $years$)?