Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Linear Equations in One Variable, Exercise 4: Chapter Test

Divide $84$ into two parts such that half of the first part is $4$ less than the half of the other part.
 

Find a number whose fifth part increased by $30$ is equal to its fourth part increased by $23$.

If a triangle has two equal sides and each $4 \mathrm{m}$ less than three times the third side. Find the dimensions of the triangle, if its perimeter is $55 \mathrm{m}$.

A man sold an article of $₹ 495$ and gained $10\%$ on it. Find the cost price of the article

Divide$₹ 1380$ among Atul, Ravi and Kishan, so that the amount Atul receives is $5$ times as much as Kishan's share and is $3$ times as much as Ravi's share.

The length of a rectangle exceeds its breadth by $18 \mathrm{cm}$. If length and breadth are each increased by $6 \mathrm{cm}$, then area of new rectangle will be $336 {\mathrm{cm}}^2$ more than that of the given rectangle. Find the length and breadth of the given rectangle.

Solve the following equation $13(y-4)-4(y-6)+5(y-9)=0$.

Solve: $x-\frac{2x+8}{3}=\frac{1}{4}\left(x-\frac{2-x}{6}\right)$