The ages of $Ram$ and $Shyam$ differ by $16 \, \text{years}$. $6 \, \text{years}$ ago,$Shyam$'s age was thrice that of $Ram$'s. Find their present ages (in $\text{years}$).

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?

If twice the son's age be added to the father's age,the sum is $70 \text{ years}$ and if twice the father's age is added to the son's age,the sum is $95 \text{ years}$. Then the father's age is (in $\text{years}$):

The average age of women and child workers in a factory was $15 \text{ years}$. The average age of all the $16$ children was $8 \text{ years}$ and the average age of women workers was $22 \text{ years}$. If $10$ women workers were married,then the number of unmarried women workers is:

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 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?