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

The ratio between the present ages of $A$ and $B$ is $5:3$ respectively. The ratio between $A$'s age $4$ years ago and $B$'s age $4$ years hence is $1:1$. What is the ratio between $A$'s age $4$ years hence and $B$'s age $4$ years ago?

If ₹ $782$ is divided into three parts proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$,then the first part is (in ₹):

The ratio of money with Anju and Sanju is $4:5$ and that with Sanju and Manju is $5:6$. If Anju has $₹280$,then the amount of money (in $₹$) Manju has is:

If $m : n = 3 : 2,$ then $(4m + 5n) : (4m - 5n)$ is equal to:

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