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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 728 · 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. 1.10 × ? − 12 = 108
  2. 2.Solve for x: 3(x + 4) = x + 52. What is x?
  3. 3.12 × ? − 12 = 48
  4. 4.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 3 and then add 11. The answer is 17. What is my number?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  10. 10.Solve for x: 4(x + 9) = x + 39. What is x?
  11. 11.I think of a number, multiply it by 6 and then take away 35. The answer is 7. What is my number?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  13. 13.Solve for x: 9(x + 4) = x + 116. What is x?
  14. 14.I think of a number, multiply it by 5 and then take away 10. The answer is 110. What is my number?
  15. 15.I think of a number, multiply it by 5 and then add 36. The answer is 176. What is my number?
  16. 16.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  18. 18.9 × ? − 30 = 51
  19. 19.I think of a number, multiply it by 5 and then add 14. The answer is 59. What is my number?
  20. 20.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 5(x + 2) = 2x + 70. What is x?
  22. 22.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  24. 24.Solve for x: 8(x + 2) = 7x + 35. What is x?
  25. 25.I think of a number, multiply it by 7 and then add 27. The answer is 83. What is my number?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  27. 27.11 × ? − 2 = 240
  28. 28.Solve for x: 5(x + 9) = 4x + 57. What is x?
  29. 29.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  31. 31.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 5(x + 1) = x + 77. What is x?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 4 and then add 40. The answer is 116. What is my number?
  36. 36.5 × ? − 4 = 61
  37. 37.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 3 and then add 18. The answer is 72. What is my number?
  39. 39.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  40. 40.12 × ? − 7 = 65

Answer key

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

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