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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 506 · 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.

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  1. 1.I think of a number, multiply it by 9 and then add 18. The answer is 198. What is my number?
  2. 2.Solve for x: 4(x + 9) = 2x + 46. What is x?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  4. 4.2 × ? − 11 = 11
  5. 5.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 3(x + 2) = x + 8. What is x?
  7. 7.Solve for x: 3(x + 3) = 2x + 15. What is x?
  8. 8.10 × ? − 30 = 180
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then add 4. The answer is 68. What is my number?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 8) = x + 30. What is x?
  13. 13.4 × ? − 10 = 70
  14. 14.12 × ? + 30 = 66
  15. 15.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 8 and then add 6. The answer is 62. What is my number?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  21. 21.Solve for x: 4(x + 7) = 2x + 40. What is x?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then take away 14. The answer is 54. What is my number?
  25. 25.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  26. 26.10 × ? + 17 = 207
  27. 27.I think of a number, multiply it by 2 and then add 25. The answer is 75. What is my number?
  28. 28.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.3 × ? − 11 = 28
  31. 31.7 × ? + 10 = 87
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then take away 8. The answer is 46. What is my number?
  34. 34.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  35. 35.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 9 and then take away 2. The answer is 61. What is my number?
  37. 37.Solve for x: 5(x + 1) = 2x + 50. What is x?
  38. 38.Solve for x: 6(x + 3) = 2x + 90. What is x?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  40. 40.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?

Answer key

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

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