$A$ person was asked to state his age in years. His reply was "Take my age three years hence,multiply it by $3$ and then subtract three times my age three years ago and you will know how old $I$ am". What was the age of the person? (in years)

$Q$ is as much younger than $R$ as he is older than $T.$ If the sum of the ages of $R$ and $T$ is $60 \text{ years},$ what is definitely the difference between $R$ and $Q$'s age? (in $\text{years}$)

The sum of the ages of $4$ members of a family,$5$ $years$ ago,was $94$ $years$. Today,when the daughter has been married off and replaced by a daughter-in-law,the sum of their ages is $92$ $years$. Assuming that there has been no other change in the family structure and all the people are alive,what is the difference between the age of the daughter and that of the daughter-in-law? (in $years$)

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 $years$)

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?

The present ages of Vishal and Shekhar are in the ratio of $14: 17$. $6 \, \text{years}$ from now,their ages will be in the ratio of $17: 20$. What is Shekhar's present age (in $\text{years}$)?