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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 810 · 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 15 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 9 and then take away 24. The answer is 201. What is my number?
  3. 3.I think of a number, multiply it by 3 and then take away 30. The answer is 27. What is my number?
  4. 4.I think of a number, multiply it by 9 and then take away 27. The answer is 63. What is my number?
  5. 5.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 7(x + 9) = 5x + 91. What is x?
  7. 7.I think of a number, multiply it by 6 and then add 25. The answer is 121. What is my number?
  8. 8.Solve for x: 5(x + 2) = x + 30. What is x?
  9. 9.I think of a number, multiply it by 2 and then take away 9. The answer is 31. What is my number?
  10. 10.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 5(x + 8) = 4x + 54. What is x?
  12. 12.5 × ? + 1 = 86
  13. 13.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 1) = x + 34. What is x?
  15. 15.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 8(x + 5) = 7x + 45. What is x?
  17. 17.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 8 and then take away 4. The answer is 100. What is my number?
  20. 20.I think of a number, multiply it by 9 and then take away 7. The answer is 173. What is my number?
  21. 21.10 × ? − 10 = 20
  22. 22.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  24. 24.Solve for x: 7(x + 2) = 6x + 25. What is x?
  25. 25.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 8(x + 3) = 6x + 62. What is x?
  30. 30.Solve for x: 3(x + 7) = 2x + 23. What is x?
  31. 31.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 7 and then add 20. The answer is 118. What is my number?
  33. 33.Solve for x: 3(x + 4) = x + 42. What is x?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  35. 35.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 4 and then add 40. The answer is 160. What is my number?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  38. 38.Solve for x: 7(x + 2) = 4x + 68. What is x?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  40. 40.6 × ? − 3 = 69

Answer key

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

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