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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 650 · 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.I think of a number, multiply it by 5 and then take away 26. The answer is 74. What is my number?
  2. 2.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 5 and then take away 21. The answer is 9. What is my number?
  5. 5.4 × ? + 24 = 36
  6. 6.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 6 and then add 14. The answer is 44. What is my number?
  8. 8.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  9. 9.9 × ? + 1 = 208
  10. 10.3 × ? − 10 = 59
  11. 11.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 6) = 3x + 31. What is x?
  13. 13.I think of a number, multiply it by 2 and then add 18. The answer is 46. What is my number?
  14. 14.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  15. 15.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  16. 16.6 × ? − 28 = 98
  17. 17.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 8(x + 2) = 6x + 56. What is x?
  19. 19.Solve for x: 7(x + 6) = 2x + 57. What is x?
  20. 20.7 × ? + 19 = 138
  21. 21.Solve for x: 5(x + 8) = 2x + 52. What is x?
  22. 22.I think of a number, multiply it by 4 and then add 5. The answer is 125. What is my number?
  23. 23.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹98 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 150 m. What is its breadth (in m)?
  26. 26.Solve for x: 4(x + 5) = 3x + 22. What is x?
  27. 27.7 × ? − 27 = 64
  28. 28.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then take away 16. The answer is 20. What is my number?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 5 and then add 3. The answer is 68. What is my number?
  33. 33.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  34. 34.4 × ? − 24 = 36
  35. 35.I think of a number, multiply it by 6 and then take away 5. The answer is 49. What is my number?
  36. 36.6 × ? − 25 = 59
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  38. 38.4 × ? + 25 = 97
  39. 39.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  40. 40.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?

Answer key

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

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