Unique Academic Board Solutions for Exercise 1: Practice Exercise

Nineteen years from now, Jackson will be $3$ times as old as Joseph is now. Johnson is three years younger than Jackson. Let $\mathrm{I}$ be Johnson's age now and $\mathrm{II}$ be Joseph's age now.

Father is aged three times more than his son Sumit. After $8$ years, he would be two and half times of Sumit's age. After further $8$ years, how many times would he be of Sumit's age?

The ratio between the present ages of $A$ and $B$ is $6:7$. If $B$ is $4$ years older than $A$, what will be the ratio of the ages of $A$ and $B$ after $4$ years?

A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is $38$ years now, the son's age five years ago was:

The ratio of P's age and Q's age is $5:7$. If the difference between the present age of Q and the age of P six years hence is $2$ years, then what is the sum of the present ages of P and Q?

Six years ago, Jaganath was twice as old as Badri. If the ratio of their present age is $9:5$ respectively, what is the difference between their present ages in years?

A group of $20$ girls has an average age of $12$ years. The average age of the first $12$ from the same group is $13$ years. What is the average age of the other $8$ girls in the group?

Jayesh is twice as old as Vijay and half as old as Suresh. If the sum of Suresh's and Vijay's ages is $85$ years, then what is Jayesh's age in years?