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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 394 · 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.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 6 and then take away 1. The answer is 65. What is my number?
  3. 3.6 × ? − 8 = 88
  4. 4.3 × ? + 15 = 42
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  6. 6.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  9. 9.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  10. 10.8 × ? − 1 = 71
  11. 11.Solve for x: 3(x + 4) = 2x + 19. What is x?
  12. 12.8 × ? − 15 = 153
  13. 13.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 9(x + 4) = x + 108. What is x?
  15. 15.I think of a number, multiply it by 3 and then take away 17. The answer is 64. What is my number?
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 4 and then take away 4. The answer is 28. What is my number?
  18. 18.4 × ? − 7 = 29
  19. 19.Solve for x: 5(x + 3) = x + 71. What is x?
  20. 20.I think of a number, multiply it by 4 and then add 30. The answer is 54. What is my number?
  21. 21.I think of a number, multiply it by 5 and then add 4. The answer is 44. What is my number?
  22. 22.2 × ? − 27 = 17
  23. 23.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.3 × ? − 18 = 45
  28. 28.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 4 and then add 7. The answer is 79. What is my number?
  30. 30.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 8 and then add 13. The answer is 53. What is my number?
  33. 33.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 3(x + 7) = 2x + 32. What is x?
  35. 35.I think of a number, multiply it by 2 and then add 31. The answer is 67. What is my number?
  36. 36.I think of a number, multiply it by 6 and then add 12. The answer is 78. What is my number?
  37. 37.I think of a number, multiply it by 9 and then take away 3. The answer is 60. What is my number?
  38. 38.Solve for x: 6(x + 4) = 4x + 62. What is x?
  39. 39.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?

Answer key

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

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