Jharne De and Ranjana Kumar Solutions for Chapter: Linear Equations in One Variable, Exercise 2: Multiple-Choice Questions

Given that $45$ is the difference between a number and that formed by reversing its digits. If the sum of the digits of the number is $13$, then find the number. 

The sum of two numbers is $1600$. If $12\%$ of one is equal to $20\%$ of the other, then find the numbers.

The present ages of Ram and Rehman are in the ratio $8:9$. After $5$ years, the ratio of their ages will be $9:10$. Find their present ages. 

Ashima's mother is thrice as old as Ashima. Ten years ago, the age of Ashima's mother was $5$ times the age of Ashima. Find their ages $5$ years from now. 

The length of a rectangle is $2$ more than $3$ times its breadth. If both length and breadth are increased by $3$, the new perimeter becomes two times the present one. Find the length and breadth of the rectangle.

A motorboat covers a distance upstream in $6 \mathrm{hours}$ and covers the same distance downstream in $5 \mathrm{hours}$. If $3 \mathrm{km}/\mathrm{h}$ is the speed of the water, then find the speed of the boat in still water.

Radhika spent $\frac{1}{2}$ of her salary paying instalments, $\frac{1}{3}$ on conveyance, and gave the remaining money as donation. If she donated $₹500$, how much money did she get as her salary and how much did she spend on instalments? 
 

Find a number whose fourth part when decreased by $20$ is equal to its fifth part increased by $30$.