Linear Equations

A certain sum of money distribute among $A, B$ $C$ in such that $A$received thrice as$B$and  two and half time as $C$.$C$ Receive Rs. $4500$ More than $\mathit{B}$ Than the money of $B$ is-

How many numbers are there between $500$and$600$ in which $9$ occurs only once?

If $\frac{1}{x+1}+ \frac{2}{y+2} +\frac{1009}{z+1009} =1$, then find the value of  $\frac{x}{x+1}+\frac{y}{y+2}+\frac{z}{z+1009}=$?

The sum of the two numbers is $20$ and their product is $75$. What is the sum of their reciprocals?

A newspaper sold for Rs. $5$ and earn $15\%$ commission. One dealer sold $1200$ copies per day, then how many Rs. he get commission in a month?

If $x+\frac{a}{x }=b$, then find the value of $\frac{x^2+bx+a }{b{x}^2-x^3}$

A number when divided by $91$ gives a remainder$17$ . When the same number is divided by$13$, the remainder will be-

If $a+\frac{1}{a}=\sqrt{3}$, find the value of $a^3+{\left(\frac{1}{a}\right)}^3$=?

If $a\times b=a+b+\frac{a}{b}$ then the value of $12\times 4$ is :

$12$ girls decided to contribute $₹750$ each and buy a gift for their teacher. Suddenly, a few of the girls dropped out and consequently, the rest of the girls had to pay $₹150$ more. Find the the number of girls who dropped out.

If $x = 3 +2\surd 2$ ,then the value of ${ x }^{ 4 }+\cfrac { 1 }{ { x }^{ 4 } }$ is

If $3x+\frac{1}{4y}=0$ then find the value of xy ?

What is the sum of two consecutive even numbers, if the difference of their sequence is $92$.

If the product of two numbers is $320$ and their ratio is $1 : 5$, what is the difference between the squares of these two numbers?

When a number is divided by$13$, the remainder is $11$. When the same number is divided by $17$, then remainder is $9$. What is the number ?

The product of two positive numbers is $2500$. If one is four times the other, then the sum of the two numbers is:

Cube root of $658503$ is

The sum of all prime numbers between $20$ and $60$ is -

If $x+y=2x$, then the value of $\frac{x}{x-z}=\frac{z}{y-z}$ is-

Find the values of k for which $9x^2+kx+1=0$ ,has both equal roots.