If $A: B = 3: 4$ and $B: C = 8: 9$,then find the value of $A: B: C$.

Find the triplicate ratio of $7:5$.

What number should be added to or subtracted from each term of the ratio $17: 24,$ so that it becomes equal to $1: 2?$

Four years ago,the father's age was three times the age of his son. The total of the ages of the father and the son after four years will be $64$ years. What is the father's age at present (in years)?

If $A: B = 2: 3$ and $B: C = 3: 7,$ then $A + B : B + C : C + A$ is

In two alloys,gold and silver are in the ratios of $4:1$ and $1:3$. After alloying together $10 \text{ kg}$ of the first alloy,$16 \text{ kg}$ of the second,and several kilograms of pure gold,an alloy was obtained in which the ratio of gold to silver was $3:2$. Find the weight of the new alloy (in $\text{kg}$).