Applications of Linear Equations
Applications of Linear Equations: Overview
This topic covers the concept of Applications of Linear Equations in One variable in Real Life.
Important Questions on Applications of Linear Equations
If the height of a triangle whose area is and the length of its base is is , then find the value of .

Twice a number is as much greater than as the three times of the number less than . The number is

If two angles are complementary and one angle is greater than the other, and the smaller angle of the two is then find .

When is added to two times a number, we get . The number is

The difference between two whole numbers is . The ratio of the two numbers is . Then the sum of those two numbers is

The perimeter of the rectangle is . If the length of the rectangle is , and its breadth is then find .

When I triple a certain number and add I get the same answer as I do when I subtract the number from . Find the number.

One number is half of the other. Sum of these two numbers is equal to . Then the two numbers are

The sum of digits of a two-digit number is . On reversing its digits, the new number is more than the original number. Find the number.

The organisers of an essay competition decide that a winner in the competition gets a prize of and a participant, who does not win, gets a prize of . The total prize money distributed is . Find the number of winners, if the total number of participants is .

Two men and three boys can complete a work in 5 days. Four men and four boys can complete the same work 3, days. How many days will one man alone complete the same amount of work.

The sum of a two digit number and the number obtained by reversing the digit is . Also the difference of these numbers is . find the numbers.

If , is added to the denominator of a fraction the fraction becomes , if is added to the numerator of the fraction. the fraction becomes , find the fraction.

The sum of numerator and denominator of a fraction is. if the denominator is increased by , the fraction becomes . find the fraction.

The ratio of two numbers is . If is added in first and is subtracted from the second the ratio becomes the reciprocal of the original ratio. find the numbers.

Seven more than a two- digit number is equal to two less than the number obtained by reversing the digits the sum of the digits is , find the number.

The sum of a two-digit number and the number obtained by reversing the digits is and the difference of two digits is find the number.

In a two-digit number, the sum of the digits is . the difference of the number obtained by reversing the digits and the number itself is . find the number.

The sum of four times the first number and three times the second number is . the difference of three times the first number and twice the second number is. find the numbers.

The length of a rectangle is twice its width. if its perimeter is 30untis,find its dimensions.
