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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 135 · 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. 1.9 × ? − 2 = 214
  2. 2.I think of a number, multiply it by 7 and then add 38. The answer is 185. What is my number?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 2 and then add 39. The answer is 93. What is my number?
  5. 5.5 × ? − 9 = 71
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 4 and then add 31. The answer is 91. What is my number?
  8. 8.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 5 and then add 24. The answer is 64. What is my number?
  10. 10.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then take away 9. The answer is 63. What is my number?
  13. 13.I think of a number, multiply it by 3 and then take away 9. The answer is 57. What is my number?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 9 and then take away 5. The answer is 67. What is my number?
  16. 16.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 7(x + 7) = 4x + 61. What is x?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 9) = 3x + 97. What is x?
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  25. 25.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 8(x + 6) = x + 104. What is x?
  27. 27.I think of a number, multiply it by 3 and then add 8. The answer is 17. What is my number?
  28. 28.I think of a number, multiply it by 5 and then take away 35. The answer is 25. What is my number?
  29. 29.Solve for x: 4(x + 2) = x + 35. What is x?
  30. 30.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 5(x + 7) = 3x + 73. What is x?
  35. 35.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then take away 28. The answer is 84. What is my number?
  37. 37.Solve for x: 4(x + 2) = x + 20. What is x?
  38. 38.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 9 and then take away 4. The answer is 230. What is my number?
  40. 40.I think of a number, multiply it by 3 and then add 26. The answer is 89. What is my number?

Answer key

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

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