The sum of the ages of a father and son is $45$ years. $5$ years ago,the product of their ages was four times the father's age at that time. The present age of the father is (in years):

The ratio of the present ages of Swati and Trupti is $4:5.$ $6 \text{ years}$ hence the ratio of their ages will be $6:7.$ What is the difference between their ages? (in $\text{years}$)

$A$ man is $3 \, \text{years}$ older than his wife and four times as old as his son. If the son becomes $15 \, \text{years}$ old after $3 \, \text{years}$, what is the present age of the wife? (in $\text{years}$)

After replacing an old member by a new member,it was found that the average age of five members of a club is the same as it was $3$ years ago. The difference between the ages of the replaced and the new member is (in years):

One $year$ ago the ratio between Samir and Ashok's age was $4: 3$. One year hence the ratio of their ages will be $5: 4$. What is the sum of their present ages 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 $years$)