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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 438 · 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. 1.3 × ? − 5 = 19
  2. 2.I think of a number, multiply it by 9 and then add 6. The answer is 69. What is my number?
  3. 3.Solve for x: 4(x + 7) = 2x + 44. What is x?
  4. 4.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  5. 5.12 × ? + 15 = 195
  6. 6.Solve for x: 4(x + 8) = 3x + 41. What is x?
  7. 7.7 × ? + 30 = 72
  8. 8.I think of a number, multiply it by 2 and then add 27. The answer is 33. What is my number?
  9. 9.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  10. 10.Solve for x: 9(x + 7) = 8x + 67. What is x?
  11. 11.I think of a number, multiply it by 9 and then add 31. The answer is 229. What is my number?
  12. 12.6 × ? − 16 = 14
  13. 13.9 × ? − 10 = 35
  14. 14.Solve for x: 4(x + 6) = 2x + 54. What is x?
  15. 15.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 2 and then add 2. The answer is 34. What is my number?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  18. 18.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  21. 21.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  22. 22.7 × ? + 28 = 105
  23. 23.10 × ? − 3 = 97
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 5 and then take away 31. The answer is 54. What is my number?
  27. 27.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 7(x + 7) = 5x + 69. What is x?
  32. 32.I think of a number, multiply it by 8 and then add 15. The answer is 127. What is my number?
  33. 33.11 × ? − 28 = 115
  34. 34.3 × ? − 3 = 15
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 6(x + 2) = 3x + 21. What is x?
  38. 38.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  40. 40.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?

Answer key

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

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