Linear Equation...

Dhruv earned some money. He spent $$\cfrac { 1 }{ 3 } $$ of the money on magazines and $$\cfrac { 1 }{ 4 } $$ of the money on a snack. Which of the following fractions represents the part of money he did not spend?

Half of a number is added to $$18$$, then the sum is $$46$$. The number is ______ .

The total cost of $$3$$ tables and $$2$$ chairs is Rs. $$745$$. If one table costs Rs. $$40$$ more than that of one chair, find the price of each table and chair respectively.

If $$6(2a-1)+8=14$$, the value of '$$a$$' is ______ .

Value of $$x$$ in $$\cfrac { x }{ 4 } +\cfrac { 1 }{ 2 } =4$$ is ______ .

The perimeter of a triangle is $$45\ cm$$. Length of the second side is twice the length of first side. The third side is $$5$$ more than the first side. Find the length of each sides.

Form an equation of the form $$ax + b = c$$, where $$a$$, $$b$$ and $$c$$ are constants, such that the solution of the equation is $$x = 4$$.

If $$\dfrac {9}{5}$$ of a number is 45, what is $$\dfrac {1}{5}$$ of the same number?

If $$\dfrac {2}{5}(5x+1)+\dfrac {3}{5} = 1$$, then what is the value of 5 x?

The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes $$\displaystyle \frac{1}{5}$$. Then the original fraction was _________.