Three numbers $A, B$ and $C$ are in the ratio $12: 15: 25$. If the sum of these numbers is $364$,find the ratio between the difference of $B$ and $A$ and the difference of $C$ and $B$.

The ratio of two numbers is $3:4$ and their $LCM$ is $180$. The second number is:

Marks of $X$ and $Y$ are in the ratio $3: 11$ respectively. If the marks of $X$ are $9$,then find the marks of $Y$.

₹ $600$ is divided among $A, B$ and $C$. If $\frac{2}{5}$ of $A$'s share plus ₹ $40$,$\frac{2}{7}$ of $B$'s share plus ₹ $20$,and $\frac{9}{17}$ of $C$'s share plus ₹ $10$ are all equal,then $A$'s share is (in ₹):

Two candles of the same height are lighted at the same time. The first is consumed in $8 \text{ hours}$ and the second in $6 \text{ hours}$. Assuming that each candle burns at a constant rate,in how many hours after being lighted,the ratio between the height of the first and second candles becomes $2:1$?

The ratio of three numbers is $2: 3: 5$. If the sum of the three numbers is $275$,then what is the largest among the three numbers?