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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 421 · 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. 1.12 × ? + 7 = 139
  2. 2.4 × ? + 24 = 88
  3. 3.I think of a number, multiply it by 5 and then take away 17. The answer is 73. What is my number?
  4. 4.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  5. 5.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then add 2. The answer is 114. What is my number?
  7. 7.3 × ? + 20 = 89
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  9. 9.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 8 and then take away 6. The answer is 34. What is my number?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  12. 12.2 × ? + 27 = 61
  13. 13.Vivaan has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  15. 15.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 6(x + 8) = 4x + 62. What is x?
  17. 17.I think of a number, multiply it by 9 and then take away 3. The answer is 87. What is my number?
  18. 18.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 4(x + 6) = 2x + 30. What is x?
  21. 21.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 8) = x + 68. What is x?
  23. 23.I think of a number, multiply it by 4 and then add 37. The answer is 57. What is my number?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  25. 25.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 6(x + 3) = 2x + 26. What is x?
  27. 27.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 30. The answer is 54. What is my number?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  30. 30.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 3 and then take away 8. The answer is 28. What is my number?
  32. 32.Solve for x: 6(x + 9) = 4x + 72. What is x?
  33. 33.Solve for x: 5(x + 1) = 4x + 21. What is x?
  34. 34.I think of a number, multiply it by 3 and then add 33. The answer is 102. What is my number?
  35. 35.7 × ? − 14 = 126
  36. 36.I think of a number, multiply it by 4 and then take away 4. The answer is 12. What is my number?
  37. 37.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 5 and then take away 39. The answer is 16. What is my number?
  39. 39.3 × ? + 23 = 44
  40. 40.I think of a number, multiply it by 4 and then add 19. The answer is 51. What is my number?

Answer key

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

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