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 $years$)?

$Q$ 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 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 ratio between the school ages of Neelam and Shaan is $5:6$. If the ratio between one-third of Neelam's age and half of Shaan's age is $5:9$,then what is the school age of Shaan (in years)?

The ratio between the present ages of $P$ and $Q$ is $6:7$. If $Q$ is $4 \text{ years}$ older than $P$,what will be the ratio of the ages of $P$ and $Q$ after $4 \text{ years}$?

The ages of $A$ and $B$ are in the ratio $6: 5$ and the sum of their ages is $44 \text{ years}$. The ratio of their ages after $8 \text{ years}$ will be: