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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 468 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  2. 2.2 × ? − 14 = 4
  3. 3.I think of a number, multiply it by 9 and then add 29. The answer is 110. What is my number?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.12 × ? + 19 = 103
  6. 6.I think of a number, multiply it by 5 and then add 9. The answer is 29. What is my number?
  7. 7.2 × ? − 20 = 6
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  11. 11.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 3(x + 5) = x + 53. What is x?
  13. 13.3 × ? − 17 = 10
  14. 14.Solve for x: 4(x + 5) = 2x + 52. What is x?
  15. 15.Solve for x: 5(x + 6) = 4x + 33. What is x?
  16. 16.Solve for x: 8(x + 6) = 4x + 68. What is x?
  17. 17.8 × ? − 29 = 139
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  19. 19.Solve for x: 4(x + 4) = x + 61. What is x?
  20. 20.4 × ? + 23 = 83
  21. 21.Solve for x: 6(x + 8) = 4x + 80. What is x?
  22. 22.Solve for x: 7(x + 4) = x + 82. What is x?
  23. 23.Solve for x: 3(x + 1) = x + 41. What is x?
  24. 24.I think of a number, multiply it by 9 and then add 10. The answer is 172. What is my number?
  25. 25.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  27. 27.4 × ? + 19 = 99
  28. 28.Solve for x: 4(x + 1) = 2x + 14. What is x?
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 6) = x + 34. What is x?
  31. 31.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then take away 23. The answer is 52. What is my number?
  34. 34.6 × ? + 16 = 52
  35. 35.Solve for x: 3(x + 7) = 2x + 23. What is x?
  36. 36.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  38. 38.Solve for x: 7(x + 2) = 6x + 20. What is x?
  39. 39.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 4(x + 9) = 2x + 64. What is x?

Answer key

  1. 20
  2. 9
  3. 9
  4. 14
  5. 7
  6. 4
  7. 13
  8. 20
  9. 11
  10. 20
  11. 7
  12. 19
  13. 9
  14. 16
  15. 3
  16. 5
  17. 21
  18. 18
  19. 15
  20. 15
  21. 16
  22. 9
  23. 19
  24. 18
  25. 4
  26. 7
  27. 20
  28. 5
  29. 3
  30. 8
  31. 13
  32. 13
  33. 25
  34. 6
  35. 2
  36. 15
  37. 27
  38. 6
  39. 20
  40. 14

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