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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 729 · 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 5 and then take away 19. The answer is 96. What is my number?
  2. 2.I think of a number, multiply it by 3 and then take away 7. The answer is 38. What is my number?
  3. 3.12 × ? − 17 = 19
  4. 4.3 × ? − 7 = 5
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  6. 6.Solve for x: 8(x + 3) = 2x + 96. What is x?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  8. 8.Solve for x: 4(x + 2) = 3x + 26. What is x?
  9. 9.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 9(x + 9) = 6x + 102. What is x?
  11. 11.5 × ? − 25 = 75
  12. 12.Solve for x: 7(x + 7) = x + 67. What is x?
  13. 13.I think of a number, multiply it by 8 and then take away 15. The answer is 25. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 4 and then take away 21. The answer is 51. What is my number?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 8 and then take away 6. The answer is 26. What is my number?
  19. 19.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? + 4 = 22
  21. 21.I think of a number, multiply it by 8 and then take away 11. The answer is 61. What is my number?
  22. 22.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  23. 23.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 7 and then add 19. The answer is 82. What is my number?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  29. 29.2 × ? + 13 = 39
  30. 30.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  31. 31.10 × ? − 18 = 222
  32. 32.8 × ? − 26 = 6
  33. 33.Solve for x: 3(x + 8) = x + 34. What is x?
  34. 34.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  35. 35.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 4(x + 1) = 3x + 24. What is x?
  38. 38.10 × ? − 10 = 100
  39. 39.I think of a number, multiply it by 9 and then add 4. The answer is 130. What is my number?
  40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?

Answer key

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

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