Chapter 7 | Linear Equations in One Variable | Class-7 DAV Secondary Mathematics

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Unit 7 Worksheet 2 || Linear Equations in One Variable

1. Adding 4 to twice a number yields 25/6. Find the number.

2. A number when added to its two-thirds is equal to 55. Find the number.

3. A number when multiplied by 4 exceeds itself by 45. Find the number.

4. Find a number which when multiplied by 8 and then reduced by 9 is equal to 47.

5. The sum of two numbers is 72. If one of the number is 6 more than the other, find the numbers.

6. The sum of two numbers is 99. If one exceeds the other by 9, find the numbers.

7. One number is 10 more than the other. If their sum is 52, find the numbers.

8. The length of a rectangle is 20 cm more than its breadth. If the perimeter is 100 cm, find the dimension of the rectangle.

9. The length of a rectangle is three times its width. If the perimeter is 84 m, find the length of the rectangle.

10. Two equal sides of an isosceles triangle are each 2 cm more than thrice the third side. If the perimeter of triangle is 67 cm, find the lengths of its sides.

11. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of the rectangle is 100 cm, find its length and breadth.

12. Find two consecutive positive integers whose sum is 63.

13. A sum of Rs. 800 is in the form of denominations of Rs. 10 and Rs. 20. If the total number of notes is 50, find the number of notes of each type.

14. In a class of 49 students, number of girls is 2/5 of the boys. Find the number of boys in the class.

15. Leena has 117 rupees in the form of 5 rupee coins and 2 rupee coins. The number of 2 rupee coins is 4 times that of 5 rupee coins. Find the number of coins of each denomination.

16. A total of 80,000 is to be distributed among 200 persons as prizes. A prize is either of 500 or 100. Find the number of each prize.

17. When 1/3 is subtracted from a number and the difference is multiplied by 4, the result is 28. Find the number.

18. Sudesh is twice as old as Seema. If six years is subtracted from Seema’s age and four years are added to Sudesh’s age, Sudesh will be four times Seema’s age. How old were they three years ago?