S.N. Chhibber Solutions for Chapter: Linear Equations and Inequations in One Variable, Exercise 3: Exercise

The sum of two numbers is $135$ and the numbers are in the ratio $4:5$. Find the numbers.

Divide $489$ into two parts such that the first part is $9$ more than twice the second part.

Meera's mother is four times as old as Meera. After five years, her mother will be three times as old as Meera. What are their present ages?

The sum of the present ages of Mohan and Shyam is $60$ years. If the ratio of their present ages is $7:8$, find their present ages.

The digit at the tens place of a two-digit number is three times the digit at the ones place. If the sum of this number and the number formed by reversing its digits is $88$, find the number.

The length of a rectangle is $5 \mathrm{cm}$ more than the breadth. If the perimeter of the rectangle is $40 \mathrm{cm}$. If the area of the rectangle is $k {\mathrm{cm}}^2$, then find the value of $k$.

Ajeet is paid $₹500$ for each day and is fined $₹50$ if he is absent. If in $26$ days, he earned $₹11,900$, then for how many days did he work?

A man left half his property to his wife, one-third to his son and the remaining to his daughter. If the daughter's share is $₹3,000$, how much money did the man leave? How much money did his wife get? What is his son's share?