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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 705 · 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 8 and then add 31. The answer is 55. What is my number?
  2. 2.12 × ? − 14 = 214
  3. 3.12 × ? − 3 = 81
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  5. 5.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  6. 6.4 × ? + 30 = 38
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.Solve for x: 9(x + 6) = 3x + 72. What is x?
  9. 9.I think of a number, multiply it by 7 and then take away 35. The answer is 49. What is my number?
  10. 10.Solve for x: 4(x + 4) = x + 31. What is x?
  11. 11.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 7 and then add 30. The answer is 72. What is my number?
  13. 13.4 × ? − 7 = 73
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then add 30. The answer is 66. What is my number?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.9 × ? − 1 = 98
  18. 18.I think of a number, multiply it by 2 and then add 30. The answer is 66. What is my number?
  19. 19.I think of a number, multiply it by 2 and then add 39. The answer is 67. What is my number?
  20. 20.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  21. 21.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  22. 22.8 × ? + 23 = 39
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  25. 25.Solve for x: 9(x + 5) = 5x + 69. What is x?
  26. 26.Solve for x: 6(x + 7) = 5x + 49. What is x?
  27. 27.I think of a number, multiply it by 5 and then take away 18. The answer is 27. What is my number?
  28. 28.I think of a number, multiply it by 7 and then add 8. The answer is 29. What is my number?
  29. 29.Solve for x: 7(x + 7) = 5x + 57. What is x?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  34. 34.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then add 19. The answer is 118. What is my number?
  36. 36.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 7 and then add 38. The answer is 227. What is my number?
  39. 39.I think of a number, multiply it by 8 and then add 34. The answer is 170. What is my number?
  40. 40.Solve for x: 7(x + 4) = 6x + 46. What is x?

Answer key

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

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