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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 775 · 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. 1.5 × ? − 27 = 88
  2. 2.Solve for x: 5(x + 6) = 4x + 36. What is x?
  3. 3.I think of a number, multiply it by 4 and then take away 13. The answer is 31. What is my number?
  4. 4.9 × ? + 30 = 84
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then add 8. The answer is 73. What is my number?
  7. 7.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  8. 8.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 3(x + 9) = 2x + 30. What is x?
  11. 11.I think of a number, multiply it by 5 and then add 4. The answer is 19. What is my number?
  12. 12.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  13. 13.4 × ? − 25 = 71
  14. 14.I think of a number, multiply it by 3 and then take away 26. The answer is 13. What is my number?
  15. 15.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  16. 16.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  18. 18.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then add 26. The answer is 36. What is my number?
  22. 22.Solve for x: 3(x + 9) = 2x + 46. What is x?
  23. 23.Solve for x: 5(x + 2) = 4x + 30. What is x?
  24. 24.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 9 and then take away 31. The answer is 95. What is my number?
  28. 28.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 9(x + 2) = 6x + 78. What is x?
  30. 30.I think of a number, multiply it by 7 and then take away 39. The answer is 3. What is my number?
  31. 31.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹269 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 4 and then take away 2. The answer is 18. What is my number?
  34. 34.I think of a number, multiply it by 8 and then add 9. The answer is 41. What is my number?
  35. 35.Solve for x: 7(x + 2) = 6x + 18. What is x?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  38. 38.9 × ? − 24 = 147
  39. 39.Solve for x: 4(x + 7) = x + 49. What is x?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹71 in all. What does one pencil cost (in ₹)?

Answer key

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

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