The sum of two numbers is $25$ and their difference is $7 \frac{1}{2}$. Find the ratio of the numbers.

If $5A = 12B = 13C$,find $A:B:C$.

The ratio of the ages of a man and his wife is $4:3$. After $4$ years,this ratio will be $9:7$. If at the time of marriage,the ratio was $5:3$,then how many years ago were they married?

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

Two numbers are in the ratio $3: 5$. If $9$ is subtracted from each,then the new numbers are in the ratio $12: 23$. The smaller number is:

₹ $120$ is divided among $6$ men, $8$ women and $6$ boys so that a man gets as much as $2$ boys and $2$ women get as much as $3$ boys. Find the share of a boy (in ₹).