Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 567 · 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 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
3. 3.Solve for x: 9(x + 7) = x + 95. What is x?
4. 4.4 × ? − 2 = 74
5. 5.I think of a number, multiply it by 9 and then take away 16. The answer is 83. What is my number?
6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
8. 8.4 × ? + 6 = 78
9. 9.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
10. 10.I think of a number, multiply it by 9 and then add 5. The answer is 230. What is my number?
11. 11.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
12. 12.Solve for x: 4(x + 8) = 3x + 35. What is x?
13. 13.Solve for x: 7(x + 5) = 5x + 65. What is x?
14. 14.Solve for x: 5(x + 3) = 4x + 21. What is x?
15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
16. 16.Solve for x: 7(x + 6) = 2x + 97. What is x?
17. 17.10 × ? + 22 = 52
18. 18.I think of a number, multiply it by 9 and then take away 27. The answer is 108. What is my number?
19. 19.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
20. 20.Solve for x: 6(x + 9) = x + 154. What is x?
21. 21.Solve for x: 5(x + 8) = x + 116. What is x?
22. 22.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
24. 24.I think of a number, multiply it by 8 and then take away 2. The answer is 62. What is my number?
25. 25.Solve for x: 3(x + 8) = x + 54. What is x?
26. 26.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
27. 27.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
28. 28.12 × ? + 9 = 93
29. 29.I think of a number, multiply it by 3 and then add 5. The answer is 29. What is my number?
30. 30.I think of a number, multiply it by 3 and then take away 1. The answer is 50. What is my number?
31. 31.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
32. 32.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
33. 33.I think of a number, multiply it by 6 and then take away 28. The answer is 62. What is my number?
34. 34.4 × ? + 26 = 50
35. 35.I think of a number, multiply it by 6 and then add 40. The answer is 184. What is my number?
36. 36.Solve for x: 6(x + 3) = 5x + 33. What is x?
37. 37.4 × ? − 29 = 19
38. 38.Solve for x: 5(x + 8) = 2x + 64. What is x?
39. 39.I think of a number, multiply it by 5 and then add 30. The answer is 175. What is my number?
40. 40.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹161 in all. What does one pencil cost (in ₹)?

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