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 horses cost as much as $5$ dogs,$6$ dogs as much as $8$ oxen,$10$ oxen as much as $50$ sheep,$14$ sheep as much as $9$ goats. If the price of one goat is $Rs. 700$,find the cost of one horse (in $Rs.$).

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 $2:1$?

Two numbers are such that the ratio between them is $4:7$. If each is increased by $4$,the ratio becomes $3:5$. The larger number is:

When $x$ is added to each term of $7: 13$,the ratio becomes $2: 3$. The value of $x$ is

If $\frac{625}{x} = \frac{x}{1156}$,then what will be the value of $x$?