Find the triplicate ratio of $7:5$.

If $78$ is divided into three parts which are in the ratio of $1: \frac{1}{3}: \frac{1}{6},$ the middle part is

If $x: y = 2: 1,$ then $(x^{2} - y^{2}) : (x^{2} + y^{2})$ is

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

An amount of $Rs. 2430$ is divided among $A$,$B$,and $C$ such that if their shares are reduced by $Rs. 5$,$Rs. 10$,and $Rs. 15$ respectively,the remainders are in the ratio of $3:4:5$. Then,$B$'s share was (in $Rs.$):

The ratio of the father's age to his son's age is $7:3$. The product of their ages is $756$. The ratio of their ages after $6$ years will be: