The sum of the ages of two brothers, having a difference of $8 \, \text{years}$ between them, will double after $10 \, \text{years}$. What is the ratio of the age of the younger brother to that of the elder brother?

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 $\text{years}$)

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?

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 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)

$A$ person was asked to state his age in years. His reply was "Take my age three years hence,multiply it by $3$ and then subtract three times my age three years ago and you will know how old $I$ am". What was the age of the person? (in years)