Applications of Linear Equations

IMPORTANT

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

MEDIUM
IMPORTANT

If the height of a triangle whose area is 36 sq m and the length of its base is 12 m  is x m, then find the value of x.

EASY
IMPORTANT

Twice a number is as much greater than 30 as the three times of the number less than 60. The number is

EASY
IMPORTANT

If two angles are complementary and one angle is 10° greater than the other, and the smaller angle of the two is x° then find x.

EASY
IMPORTANT

When 9 is added to two times a number, we get 67. The number is

EASY
IMPORTANT

The difference between two whole numbers is 66. The ratio of the two numbers is 2:5. Then the sum of those two numbers is

EASY
IMPORTANT

The perimeter of the rectangle is 20 cm. If the length of the rectangle is 6 cm, and its breadth is x cm then find x.

EASY
IMPORTANT

When I triple a certain number and add 2, I get the same answer as I do when I subtract the number from 50. Find the number.

EASY
IMPORTANT

One number is half of the other. Sum of these two numbers is equal to 6. Then the two numbers are

HARD
IMPORTANT

The sum of digits of a two-digit number is 17. On reversing its digits, the new number is 9 more than the original number. Find the number.

HARD
IMPORTANT

The organisers of an essay competition decide that a winner in the competition gets a prize of 500 and a participant, who does not win, gets a prize of 100. The total prize money distributed is 4800. Find the number of winners, if the total number of participants is 36.

HARD
IMPORTANT

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.

EASY
IMPORTANT

The sum of a two digit number and the number obtained by reversing the digit is 165. Also the difference of these numbers is 9. find the numbers.

HARD
IMPORTANT

If 1, is added to the denominator of a fraction the fraction becomes 12, if 1 is added to the numerator of the fraction. the fraction becomes 1, find the fraction. 

MEDIUM
IMPORTANT

The sum of numerator and denominator of a fraction is12. if the denominator is increased by 3, the fraction becomes 12. find the fraction.

HARD
IMPORTANT

The ratio of two numbers is 25. If 4 is added in first and 32 is subtracted from the second the ratio becomes the reciprocal of the original ratio. find the numbers.

MEDIUM
IMPORTANT

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 5, find the number.

MEDIUM
IMPORTANT

The sum of a two-digit number and the number obtained by reversing the digits is 110and the difference of two digits is  2 find the number.

MEDIUM
IMPORTANT

In a two-digit number, the sum of the digits is 7. the difference of the number obtained by reversing the digits and the number itself is 9. find the number.

MEDIUM
IMPORTANT

The sum of four times the first number and three times the second number is 15. the difference of three times the first number and twice the second number is7. find the numbers. 

MEDIUM
IMPORTANT

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