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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 323 · 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.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 2 and then add 14. The answer is 40. What is my number?
  5. 5.4 × ? − 11 = 57
  6. 6.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  7. 7.8 × ? + 17 = 89
  8. 8.I think of a number, multiply it by 2 and then add 27. The answer is 39. What is my number?
  9. 9.2 × ? + 26 = 70
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  12. 12.7 × ? + 20 = 83
  13. 13.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 9 and then take away 30. The answer is 96. What is my number?
  16. 16.I think of a number, multiply it by 9 and then take away 37. The answer is 35. What is my number?
  17. 17.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then take away 32. The answer is 40. What is my number?
  19. 19.5 × ? − 22 = 13
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  21. 21.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 7 and then take away 25. The answer is 108. What is my number?
  23. 23.Solve for x: 6(x + 6) = x + 101. What is x?
  24. 24.Solve for x: 5(x + 1) = 3x + 39. What is x?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  26. 26.Solve for x: 5(x + 9) = 2x + 63. What is x?
  27. 27.I think of a number, multiply it by 5 and then add 19. The answer is 104. What is my number?
  28. 28.I think of a number, multiply it by 7 and then add 31. The answer is 52. What is my number?
  29. 29.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 8 and then take away 12. The answer is 164. What is my number?
  31. 31.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 5(x + 2) = 2x + 13. What is x?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  35. 35.7 × ? − 11 = 157
  36. 36.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 8(x + 1) = 7x + 13. What is x?
  38. 38.I think of a number, multiply it by 6 and then take away 15. The answer is 57. What is my number?
  39. 39.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  40. 40.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?

Answer key

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

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