Linear Equation...

$$\displaystyle \frac { 4x }{ 9 } -8=8-\frac { 5x }{ 9 } $$, find $$x$$.

A man has Rs. $$x$$ with him. He gave $$\dfrac{1}{4}$$th to his wife, $$\dfrac{1}{3}$$rd to his son and Rs. $$1000$$ to his daughter. Find $$x$$.

The sum of $$5$$, $$9$$ and a number is $$50$$. Find the number.

The sum of two numbers is $$30$$. One of the number exceeds the other by $$10$$. Find the number.

The four consecutive numbers add up to $$74$$. What are these integers?

Solve $$8(3+2x)=13x$$ and find the value of $$ x$$

The sum of three consecutive even integers is $$72$$. Find the smallest number

The sum of $$6$$ consecutive numbers is $$105$$. Find the smallest number.

The sum of three consecutive multiples of $$5$$ is $$45$$. Which is the smallest of the three multiples?

The length of a rectangle is $$ 1\frac { 3 }{ 4 } $$ of its breadth. If perimeter is $$66$$. find the length of rectangle.