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 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)

In a family,a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is $9$ years younger than her husband and the brother is $7$ years older than his sister. What is the age of the mother? (in years)

The ratio between the present ages of $Ram$,$Rohan$,and $Raj$ is $3: 4: 5$. If the average of their present ages is $28$ years,then what will be the sum of the ages of $Ram$ and $Rohan$ together after $5$ years? (in years)

The age of the father is $30 \text{ years}$ more than the son's age. Ten $\text{years}$ hence,the father's age will become three times the son's age at that time. What is the son's present age in $\text{years}$?

The age of a father is three times that of his son. After $5$ years,double the father's age will be five times the son's age. The present age of the father and son (in $years$) is: