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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 999 · 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 7 and then take away 31. The answer is 53. What is my number?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  3. 3.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  5. 5.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  6. 6.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then take away 11. The answer is 84. What is my number?
  9. 9.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 5 and then take away 23. The answer is 57. What is my number?
  11. 11.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 7 and then take away 30. The answer is 47. What is my number?
  13. 13.Solve for x: 8(x + 7) = 5x + 59. What is x?
  14. 14.Solve for x: 5(x + 8) = 2x + 100. What is x?
  15. 15.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 34. The answer is 258. What is my number?
  17. 17.Solve for x: 6(x + 8) = 4x + 76. What is x?
  18. 18.I think of a number, multiply it by 7 and then take away 28. The answer is 168. What is my number?
  19. 19.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹332 in all. What does one pencil cost (in ₹)?
  22. 22.12 × ? − 26 = 10
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  24. 24.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  25. 25.7 × ? − 23 = 103
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then add 35. The answer is 215. What is my number?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  29. 29.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 4(x + 5) = 3x + 30. What is x?
  31. 31.Solve for x: 4(x + 1) = 2x + 6. What is x?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  33. 33.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  34. 34.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  35. 35.9 × ? − 30 = 78
  36. 36.4 × ? − 13 = 27
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 4 and then add 27. The answer is 99. What is my number?
  39. 39.Solve for x: 4(x + 9) = 2x + 58. What is x?
  40. 40.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?

Answer key

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

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