If $378$ coins consist of $Rs. 1$,$50$ paise,and $25$ paise coins whose values are in the ratio of $13: 11: 7$,the number of $50$ paise coins will be:

When $X$ is subtracted from the numbers $9, 15$ and $27$,the remainders are in continued proportion. What is the value of $X$?

The ratio between the present ages of $P$ and $Q$ is $5:7$ respectively. If the difference between $Q$'s present age and $P$'s age after $6$ years is $2$,what is the total of $P$'s and $Q$'s present ages (in years)?

Two numbers are in the ratio $5:3$. If $9$ is subtracted from each,the new ratio becomes $9:5$. What are the two numbers?

The sum of three numbers is $98$. If the ratio of the first to the second is $2:3$ and that of the second to the third is $5:8$,then the second number is:

The ratio of ages between $A$ and $B$ is $6: 5$ and the age of each $C$ and $D$ is $\frac{9}{10}$ times that of $B$. The age of $F$ is less than $A$ but greater than $B$. The ratio of ages between $B$ and $E$ is $2: 3$. Also,the age of $A$ is $3 \text{ years}$ less than $E$. What is the ratio of the ages of $A$ and $F$ if all the ages are integers?