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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 325 · 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 7 and then add 25. The answer is 60. What is my number?
  2. 2.Solve for x: 5(x + 9) = 2x + 87. What is x?
  3. 3.I think of a number, multiply it by 6 and then add 39. The answer is 87. What is my number?
  4. 4.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 5 and then add 31. The answer is 151. What is my number?
  8. 8.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  9. 9.12 × ? + 3 = 159
  10. 10.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 3 and then take away 13. The answer is 26. What is my number?
  13. 13.10 × ? − 1 = 159
  14. 14.2 × ? − 17 = 1
  15. 15.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 4(x + 2) = 2x + 28. What is x?
  17. 17.I think of a number, multiply it by 8 and then take away 27. The answer is 53. What is my number?
  18. 18.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  20. 20.8 × ? − 14 = 114
  21. 21.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? − 5 = 120
  23. 23.I think of a number, multiply it by 8 and then add 22. The answer is 78. What is my number?
  24. 24.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  25. 25.2 × ? + 16 = 22
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  27. 27.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then take away 40. The answer is 16. What is my number?
  29. 29.Solve for x: 4(x + 4) = 2x + 20. What is x?
  30. 30.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 3(x + 7) = x + 49. What is x?
  32. 32.Solve for x: 6(x + 1) = 3x + 45. What is x?
  33. 33.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  34. 34.10 × ? + 2 = 72
  35. 35.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then take away 28. The answer is 86. What is my number?
  37. 37.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?

Answer key

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

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