Ratio of the ages of Tania and Rakesh is $9:10$. $10 \text{ years}$ ago,the ratio of their ages was $4:5$. What is the present age of Rakesh (in $\text{years}$)?

If the present age of $X$ is half that of $Y$ and after $20$ years the age of $Y$ will be $1 \frac{1}{2}$ times that of $X$,what is the present age of $X$?

Radha's present age is $3 \text{ years}$ less than twice her age $12 \text{ years}$ ago. Also,the ratio of Raj's present age to Radha's present age is $4:9$. What will be Raj's age after $5 \text{ years}$? (in $\text{years}$)

Radha's present age is three years less than twice her age $12$ years ago. Also,the ratio between Raj's present age and Radha's present age is $4:9$. What will be Raj's age after $5$ years? (in years)

$7$ years ago,the ages (in years) of $A$ and $B$ were in the ratio $4:5$; and $7$ years hence they will be in the ratio $5:6$. The present age of $B$ is (in years):

In a family,mother's age is twice that of daughter's age. Father is $10 \,years$ older than mother. Brother is $20 \,years$ younger than his mother and $5 \,years$ older than his sister. What is the age of the father? (in $years$)