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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 43 · 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 6 and then add 39. The answer is 147. What is my number?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  3. 3.5 × ? − 7 = 23
  4. 4.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  6. 6.3 × ? − 4 = 47
  7. 7.2 × ? + 7 = 21
  8. 8.Solve for x: 6(x + 6) = 5x + 43. What is x?
  9. 9.3 × ? − 1 = 74
  10. 10.Solve for x: 9(x + 5) = 5x + 89. What is x?
  11. 11.4 × ? + 12 = 48
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then add 11. The answer is 55. What is my number?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  15. 15.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  16. 16.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  18. 18.Solve for x: 9(x + 7) = 2x + 182. What is x?
  19. 19.Solve for x: 5(x + 3) = 2x + 66. What is x?
  20. 20.Solve for x: 7(x + 9) = 5x + 89. What is x?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  23. 23.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  24. 24.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 4 and then add 37. The answer is 145. What is my number?
  27. 27.2 × ? + 18 = 22
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  29. 29.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 3) = 5x + 39. What is x?
  32. 32.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  33. 33.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  34. 34.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then add 33. The answer is 60. What is my number?
  36. 36.I think of a number, multiply it by 8 and then add 9. The answer is 153. What is my number?
  37. 37.Solve for x: 9(x + 4) = 4x + 66. What is x?
  38. 38.I think of a number, multiply it by 6 and then add 2. The answer is 98. What is my number?
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  40. 40.5 × ? + 2 = 22

Answer key

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

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