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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 873 · 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 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  2. 2.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  3. 3.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  4. 4.3 × ? − 3 = 66
  5. 5.I think of a number, multiply it by 9 and then take away 11. The answer is 7. What is my number?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 15. The answer is 42. What is my number?
  8. 8.Solve for x: 8(x + 2) = 2x + 88. What is x?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then take away 22. The answer is 41. What is my number?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  12. 12.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  14. 14.9 × ? + 17 = 125
  15. 15.Solve for x: 6(x + 5) = 5x + 44. What is x?
  16. 16.12 × ? − 4 = 140
  17. 17.I think of a number, multiply it by 6 and then take away 23. The answer is 31. What is my number?
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  20. 20.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 3(x + 9) = 2x + 31. What is x?
  22. 22.2 × ? − 13 = 25
  23. 23.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  24. 24.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then take away 19. The answer is 197. What is my number?
  26. 26.I think of a number, multiply it by 2 and then add 36. The answer is 80. What is my number?
  27. 27.Manav has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  28. 28.5 × ? − 12 = 68
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  30. 30.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹78 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 122 m. What is its breadth (in m)?
  33. 33.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 9(x + 3) = x + 59. What is x?
  35. 35.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then take away 17. The answer is 154. What is my number?
  37. 37.Solve for x: 8(x + 1) = x + 71. What is x?
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?

Answer key

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

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