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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 199 · 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 7. The answer is 151. What is my number?
  2. 2.I think of a number, multiply it by 7 and then add 19. The answer is 110. What is my number?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.11 × ? − 21 = 188
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  6. 6.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  7. 7.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 3(x + 4) = x + 42. What is x?
  9. 9.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹358 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 2 and then add 34. The answer is 40. What is my number?
  11. 11.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  13. 13.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 1) = 2x + 36. What is x?
  15. 15.2 × ? + 12 = 46
  16. 16.I think of a number, multiply it by 9 and then add 4. The answer is 22. What is my number?
  17. 17.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then add 17. The answer is 89. What is my number?
  19. 19.10 × ? + 11 = 71
  20. 20.11 × ? − 24 = 119
  21. 21.I think of a number, multiply it by 4 and then take away 15. The answer is 1. What is my number?
  22. 22.Solve for x: 7(x + 7) = 6x + 66. What is x?
  23. 23.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 5(x + 9) = 4x + 46. What is x?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  27. 27.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 4 and then add 12. The answer is 24. What is my number?
  29. 29.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 4(x + 4) = 2x + 38. What is x?
  31. 31.Solve for x: 9(x + 5) = 6x + 87. What is x?
  32. 32.I think of a number, multiply it by 3 and then add 35. The answer is 125. What is my number?
  33. 33.5 × ? + 9 = 124
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 4) = 2x + 68. What is x?
  36. 36.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 6 and then take away 22. The answer is 50. What is my number?
  39. 39.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹70 in all. What does one pencil cost (in ₹)?

Answer key

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

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