$x$ varies inversely as the square of $y$. Given that $y = 2$ when $x = 1$. The value of $x$ when $y = 6$ will be equal to:

Sachin is younger than Rahul by $4$ years. If their ages are in the respective ratio of $7:9$,how old (in years) is Sachin?

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

$A$ person's present age is two-fifth of the age of his mother. After $8$ years,he will be one-half of the age of his mother. How old is the mother at present (in $years$)?

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:

The difference between a two-digit number and the number obtained by interchanging the digits is $36$. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is $1:2$?