Linear Equation...

A student divided a number by two when he was required to multiply it by $$2$$. The answer he got was $$2$$. The correct answer should have been

If $$\displaystyle \frac{1}{3}\, =\, \frac {\sqrt{x}}{2}$$, then value of $$x$$ is

Solve for $$x$$ : $$\sqrt[3]{x}\,- 4\, =\, 0$$

Solve for $$x$$ : $$5\, -\, \sqrt{x}\, =\, 0$$

Two distinct natural numbers are such that the one number is twice the other number and their sum  is $$6$$. The two numbers are ____

Mohan gets $$3$$ marks for each correct sum and loses $$2$$ marks for each wrong sum. He attempts $$30$$ sums and obtains $$40$$ marks. The number of sums solved correctly is

Twice a number decreased by $$15$$, equals $$25$$. Find the number.

You take $$5$$ less than thrice a number and add $$7$$. The result is $$14$$. The number is

The difference between $$\displaystyle \frac{3}{4}$$ of a line and $$\displaystyle \frac{2}{5}$$ of the same line is $$28$$ cm. Find the length of the line.