Two numbers are in the ratio of $5:6$. If $5$ is subtracted from each number,the ratio becomes $4:5$. The numbers are:

The ratio of the ages of the father and mother was $11: 10$ when their son was born. The ratio of the ages of the father and mother will be $19: 18$ when the son is twice his present age. What is the ratio of the present ages of the father and mother?

$A$ box of sweets was distributed between $A$ and $B$ in the ratio $3:4$. If $A$ got $36$ sweets,what was the total number of sweets?

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

The reciprocals of the square of the numbers $1 \frac{1}{2}$ and $1 \frac{1}{3}$ are in the ratio:

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 $\text{kg}$).