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 $years$)

Raman's present age is three times his daughter's and $9/13$ of his mother's present age. The sum of the present ages of all three of them is $125 \text{ years}$. What is the difference between the present ages of Raman's daughter and Raman's mother? (in $\text{years}$)

Shan is $55$ years old. Sathian is $5$ years junior to Shan and $6$ years senior to Balan. The youngest brother of Balan is Devan,and he is $7$ years junior to him. What is the age difference between Devan and Shan (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)

The age of the father $10 \,years$ ago was thrice the age of his son. Ten $years$ hence,father's age will be twice that of his son. The ratio of their present age is

The average age of $30$ students of a class is $14$ years $4$ months. After the admission of $5$ new students,the average age becomes $13$ years $9$ months. The youngest of the five new students is $9$ years $11$ months old. What is the average age of the remaining $4$ new students?