Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 95 · 40 questions

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

1. 1.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
2. 2.I think of a number, multiply it by 7 and then add 3. The answer is 101. What is my number?
3. 3.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
4. 4.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
5. 5.Solve for x: 4(x + 8) = 2x + 52. What is x?
6. 6.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
7. 7.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
8. 8.Solve for x: 6(x + 7) = 4x + 50. What is x?
9. 9.Solve for x: 9(x + 2) = 4x + 23. What is x?
10. 10.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
11. 11.Solve for x: 4(x + 9) = 2x + 66. What is x?
12. 12.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
13. 13.Solve for x: 6(x + 7) = 2x + 66. What is x?
14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
15. 15.Solve for x: 8(x + 2) = 7x + 25. What is x?
16. 16.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
18. 18.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
19. 19.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
21. 21.3 × ? + 16 = 82
22. 22.I think of a number, multiply it by 7 and then take away 25. The answer is 31. What is my number?
23. 23.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
25. 25.Solve for x: 5(x + 6) = x + 66. What is x?
26. 26.Solve for x: 7(x + 3) = x + 111. What is x?
27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
28. 28.Solve for x: 9(x + 3) = 2x + 104. What is x?
29. 29.Solve for x: 4(x + 8) = x + 68. What is x?
30. 30.8 × ? + 28 = 220
31. 31.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
32. 32.6 × ? − 10 = 140
33. 33.I think of a number, multiply it by 5 and then take away 6. The answer is 89. What is my number?
34. 34.12 × ? − 27 = 141
35. 35.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
36. 36.I think of a number, multiply it by 9 and then take away 27. The answer is 144. What is my number?
37. 37.I think of a number, multiply it by 8 and then take away 20. The answer is 148. What is my number?
38. 38.I think of a number, multiply it by 7 and then take away 28. The answer is 49. What is my number?
39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?

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