Linear Equation...

Arpan cut a cake in two equal parts and one of these two pieces is again cut into equal parts. Each small part is of $$20$$ grams. If there are seven parts of the whole cake, what was the weight of the original cake?

Divide Rs. $$3010$$ among A, B, C respectively in such a way that A gets double of what B gets and B gets double of what C gets.

Which of the following statement do not hold in solving the equation $$15 + 3x = 3$$?

Solve for x : $$\dfrac {6x-2}{9}+\dfrac {3x+5}{18} = \dfrac {1}{3}.$$

A boy was asked to multiply a given number by $$\dfrac{8}{17}.$$ Instead, he divided the given number by $$\dfrac{8}{17}$$ and got the result $$225$$ more than what he should have got if he had multiplied the number by $$\dfrac{8}{17}.$$ The given number was

A drum of kerosene oil is $$\cfrac{3}{4}$$ full. When $$15$$ liters of oil is drawn from it, it is $$\cfrac{7}{12}$$ full. The capacity of the drum is _____.

$$A$$ has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount left with him now is

A number when added to its half gives $$36$$. Find the number.

The two digit number having the unit digit $$x + 5$$ and ten's digit $$x - 5$$ is _______.

The sum of 4 consecutive numbers is 94. Then the last number is