Editorial Board Solutions for Chapter: Arithmetic Maths, Exercise 1: ALGEBRA-POWERS

The product of two positive numbers is $11520$ and their quotient is $\frac{9}{5}$. Find the difference of two numbers.

The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$. The greater of the fractions is :

The product of the two numbers is $9375$. When the larger one is divided by the smaller one, then the quotient is $15$. The sum of the numbers is:

The sum of the squares of three consecutive natural numbers is $2030$. Then what is the middle number?

Three-fifth of the square of a certain number is $126.15$. What is the number?

If $a\ne 1,$ find the relation between $x$ and $y$.

$x=\frac{a}{a-1}$ and $y=\frac{1}{a-1}$, Then _____.

A person bought $5$ tickets from a station $P$ to a station $Q$ and $10$ tickets from station $P$ to a station $R$. He paid $Rs.350$. If the sum of a ticket from $P$ to $Q$ and $P$ to $R$ is $Rs.42$, then what is the fare from $P$ to $Q$?

The number, whose square is equal to the difference of the squares of $75.15$ and $60.12$ is: